It can be said that the car which travels first at 40 miles in 40 minutes and then 30 miles in 30 minutes is traveling at a constant speed.
The formula and procedure we will use to solve this exercise is:
v = x /t
Where:
x = distancet = timev = velocityInformation about the problem:
t₁ = 40 minx₁= 40 milest₂ = 30 minx₂= 30 milesv₁ = ?v₂ = ?Applying the velocity formula for the first data information of the travel, we get:
v₁ = x₁ /t₁
v₁ = 40 miles /40 min
v₁ = 1 mile/min
Applying the velocity formula for the second data information of the travel, we get:
v₂ = x₂ /t₂
v₂ = 30 miles /30 min
v₂ = 1 mile/min
As we notice v₁ = v₂ that means that the car is traveling with a constant speed during the trip
What is velocity?It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).
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A green car travels on the highway at 12 m/s. A red car is behind the green car and traveling at 19 m/s. If it takes the red car 2 minutes to catch the green car, how far apart were they to begin with?
For the reason that the green car's initial velocity and acceleration are equal in both instances, it follows that you could use the time the pink automobile wishes to attain those two factors to write two equations with unknowns, the inexperienced vehicle's.
V0=-14.56m/s
a=-4.96m/s²
A red automobile and an inexperienced car flow in the direction of each different in adjacent lanes and parallel to an x-axis.
At time t = zero, the purple vehicle is at
XR = 0 and the green vehicle is at
Xg = 216 m.
If the red vehicle has a constant velocity of 27.0 km/h, the motors bypass every difference at x = 44.2 m. then again, if the red automobile has a steady velocity of fifty-four. 0 km/h, they skip every difference at
x = 76.7 m.
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1. List the four most common states of matter.
2. What factors determine the state of a substance?
3. Describe a solid.
2C REVIEW QUESTIONS
4. Compare crystalline and amorphous solids.
5. What property allows you to describe liquids and gases
as fluids?
6. What is viscosity?
7. Compare the degree of motion of the particles in
solids, liquids, and
The correct answer is :
1) Matter exists in four different natural states: solids, liquids, gases, and plasma.
2) Whether a thing is a solid, liquid, or gas depends on two factors:
a substance's constituent atoms, molecules, or ions are made up of their individual kinetic energies. The particles are typically kept apart by kinetic energy. The intermolecular forces that tend to bind particles together with attractive force.
A substance won't condense into a liquid or solid if the average kinetic energy is higher than the attraction forces holding the particles together. A liquid or solid will develop if the kinetic energy is lower than the attraction forces.
3) A solid is distinguished by its structural rigidity and resistance to external forces. A solid substance, unlike a liquid, does not flow to conform to the shape of its container or, like a gas, expand to cover the entire space.
4) Particles that are organised in three dimensions make up crystalline solids. They have equivalent intermolecular forces between them. They have a distinct melting temperature and are anisotropic. The genuine solids are what they are known as. Diamond, benzoic acid, and other crystalline solids are among examples. The use of diamonds includes the creation of exquisite jewellery and the cutting of glass, among other things.
Amorphous means having no defined shape. Solid particles are arranged erratically in amorphous materials. They do not have equivalent intermolecular forces between them. Additionally, the separation between every two particles varies. They lack a recognisable geometric shape. Amorphous solids are isotropic materials that are also referred to as supercooled liquids. Glass and other amorphous solids are a few examples.
5) Because the intermolecular interactions permit the molecules to move, both the liquid and gas phases are fluid. The materials don't have set shapes in each of these phases; instead, the containers housing them shape them.
6) The ability of a fluid to resist relative motion between two surfaces that are moving at different speeds is known as viscosity. In simpler terms, viscosity refers to friction between fluid molecules or resistance to flow.
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Ashley is going on a trip to London. She has saved $130.00 in spending money. When she arrives in England, she goes to a bank to change her money into pounds. She is told that the exchange rate is 1 British pound = 1.43 American dollars. The bank charges a fee of 4 pounds to change the money from dollars to pounds. How much money, in British pounds, will Ashley have if she changes all of her dollars to pounds?
Ashley will have 86.909 pounds to spend on the trip in London.
1 British pound = 1.43 American dollars
This shows the conversion of British pound into American dollars.
1 American dollar = [tex]\frac{1}{1.43}[/tex] British pound
1 American dollar = 0.6993 British pound
Ashley has $130.00
The amount of money she will have in British Pound can be calculated as:
= $130.00 * 0.6993
= 90.909 British Pound
Fee charged by the bank to convert the currency from American dollars to British pounds = 4 British pounds
Remaining amount after paying bank's fee = 90.909 - 4
= 86.909 British pounds
Therefore Ashley will have 86.909 British pounds after she changes all of her dollars to pounds.
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please answer show work
Answer:
speed =distance /time
10/4=2.5 m/s
with what tension must a rope with length 2.80 m and mass 0.125 kg be stretched for transverse waves of frequency 39.0 hz to have a wavelength of 0.740 m ?
The tension in the string for waves of frequency of 39 Hz to have a wavelength of 0.740 m is 1166 N.
The velocity(v) of a wave in a string is given by the following formula
V = 1/2L x √(T/μ) .........(i)
Here, L is the length of rope
T is the tension
μ is the mass per unit length i.e, M/L
We know that v = f x λ
Where f is the frequency and λ is the wavelength
So, the equation becomes
f x λ = 1/2L x √(T/μ)
Putting f = 39 Hz, lambda = 0.740 m, L= 2.80 m and m = 0.125 kg
39 x 0.740 = 1/2(2.80) root T/(0.125/2.80)
On solving the above equation
T = 1166 N.
Hence, the tension in the string for waves of frequency of 39 Hz to have a wavelength of 0.740 m is 1166 N.
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True
False
Question
Preventative health behaviors rarely have much influence on health as most diseases
are genetic.
Answer:
It is false
Explanation:
I am not sure behind the science on this, but if I had to guess I would chose false. This is because preventing certain things from happening in the long run can at least do a good job of reducing the chance of something happening, correct? Don’t take my answer as correct right away, do a quick search up on the internet and you should be able to find what your looking for with the science behind it! You got it!
what is one advantage of observing living things in a closed setting?
The most important advantage of observing living things in a closed setting is to observe the causes and effects of a given variable.
What does cause and effect in experimentation mean?The expression 'cause and effect in experimentation' refers to which are the dependent variables whose changes depend on the independent variable, which only can be tested in a closed system during experimental procedures.
In conclusion, the most important advantage of observing living things in a closed setting is to observe the causes and effects of a given variable.
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Which is the pH of a 1 x 10 to the power of -4 mol HCI solution?
The pH of the 1×10⁻⁴ M hydrochloric acid, HCl solution is 4
We'll begin by obtaining the concentration of the hydrogen ion, H⁺ in th solution. This is illustrated below:
Dissociation equation
HCl(aq) —> H⁺(aq) + Cl¯(aq)
From the balanced equation above,
1 mole of HCl contains 1 mole of H⁺
Therefore,
1×10⁻⁴ M HCl will also contain 1×10⁻⁴ M H⁺
How to determine the pH of the solutionThe pH of the solution can be obtained as follow:
Hydrogen ion concentration [H⁺] = 1×10⁻⁴ MpH =?pH = –Log H⁺
pH = –Log 1×10⁻⁴ M
pH = 4
Thus, we can conclude that the pH of the solution is 4
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THREE-DIMENSIONAL THINKING
If you cause the surfaces between two touching objects to change, how
will the friction be affected? Make a claim. Support your explanation with
evidence and logical connections.
Type answer here.
Clear
The correct answer is The minuscule hills and valleys of two contacting surfaces grow, which causes friction. Describe how friction is impacted by the pressure pressing two surfaces together. The amount of friction between two surfaces increases as the force pulling the surfaces together increases.
Frictional force is the force produced when two surfaces slide against and touch each other. The surface texture and amount of force needing them together have the biggest an impact on these forces.
The forces of adhesion between the sites of contact areas of the surfaces, which are always minutely uneven, are the primary cause of friction between objects. The action of the imperfections of the harder surface tilling across the softer surface shears these "fused" connections, causing friction.
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Which mixture of solids can be separated by using both shape and size?
A: Beans, ground coffee, and baking powder
B: Oval beads, marbles, and dice
C: Sand, sea shells, and salt
D: White rice, yellow string beans, and green string beans
The mixture of solids that can be separated by using both shape and size is oval beads, marbles, and dice (option B).
What is a mixture?A mixture in chemistry is any substance that is made up of two or more constituents that can easily be separated using physical means.
Mixtures, unlike compounds, contain substances that retain their chemical composition since there is no chemical bonding.
This makes the components of a mixture separable by physical techniques such as heating, magnetism etc.
Therefore, the mixture of solids that can be separated by using both shape and size is oval beads, marbles, and dice because they are all of different and unique shapes and sizes.
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Match each word with its definition. Match the items in the left column to the items in the right column.
1. displacement
2. distance
3. scalar
4. mass
5. kinematics
6. vector
7. time
A. the length of the entire path an object travels from start to end
B. the change of position of an object from start to finish
C. the property a body possesses as evidenced by its inertia
D. a quantity expressed as a magnitude and a unit
E. displacement is this type of quantity
F. an area of physics dealing with mathematical methods of describing motion
G. that which allows us to place events in their order of happening
The items in the left column matched to the items in the right column:
A. the length of the entire path an object travels from start to end - Distance B. the change of position of an object from start to finish - displacement C. the property a body possesses as evidenced by its inertia - mass D. a quantity expressed as a magnitude and a unit - Scaler E. displacement is this type of quantity - vector F. an area of physics dealing with mathematical methods of describing motion - Kinematics G. that which allows us to place events in their order of happening - time.What is distance?This is the length between two different points; say point A to B. It is measured in meters ( m).
In conclusion, the length of the entire path an object travels from start to end is regarded as distance
Vectors are quantities which have both magnitude and direction.
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the maximum horizontal distance a boy can throw a ball is 45 m. assume he can throw with the seam initial speed at all angles. how high does he throw the ball when he throws it straigth upward
The boy can throw a ball with the same initial speed at all angles then the height of the ball traveled will be 12.6m
What are equation of motion?Equations of motion in physics are equations that explain how a physical system behaves in terms of how its motion changes over time. The behavior of a physical system is described in further detail by the equations of motion as a collection of mathematical functions expressed in terms of dynamic variables.
The three equations are,
v = u + at.
v² = u² + 2as.
s = ut + ½at²
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HELP PLEASE I'M GONNA FAIL!!! pls help
In a short-answer response, thoroughly describe what free-body diagrams are used for and what the free-body diagram is telling us about the directions of the forces.
Make sure to include which direction the object will move and give an example of what that object could be. (examples: box, soccer ball, rope in a tug-of-war, etc.)
Free body diagrams are used in mechanics problems to illustrate forces and moments applied to a body and to compute reactions.
What is a Free Body diagram?The relative strength and direction of all forces operating on an object in a specific circumstance can be depicted using free body diagrams (FBDs), which are helpful tools. The careful creation of a free-body diagram is a prerequisite for the analysis and description of the majority of physical processes. In a free body diagram, the size of the arrow represents the force's magnitude, while the direction of the arrow represents the way it acts.
These diagrams are widely used to compute internal forces within a structure, as well as to determine the loading of certain structural components.
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Give two examples of solids whose motion is: a) rectilinear translation. b) curvilinear translation. c) rotational.
Answer:
b one is correct........I wish u give me mark as brainlliest
Ty works two jobs and attends college part-time. he averages 5 hours of sleep per night most nights of the week. what are the health risks of his sleep deprivation?
The health risks include Health Effects of Sleep Loss, Poor glucose tolerance and diabetes.
Both adults and kids who are obese.
Vascular disease and high blood pressure.
Anxiety signs.
Depressed attitude
Using alcohol.
What negative impacts might a lack of sleep cause?Sleep deprivation can leave you cranky and confused. Many people might not be aware of the potential effects on your capacity to lose weight, memory, health, and even your sexual life.
You run the risk of developing heart disease if you have sleep disorders or persistent sleep deprivation.
Chest pains.
A heart attack.
Abnormal heartbeat
Elevated blood pressure
Stroke.
Which five consequences might insomnia have?Chronic sleep deprivation has been linked to high blood pressure, heart attacks, strokes, obesity, diabetes, depression, anxiety, impaired brain function, memory loss, weakened immune system, and lower levels of energy.
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how are ecosystem and plate motion Similar and different?
Geographic changes that result from plate tectonic processes must cause great environmental changes. For example, when continents drift into new latitudes, climatic patterns in both marine and terrestrial environments will be affected.
the tension in a clothesline carrying a load of wash is appreciably greater when the clothesline is strung horizontally than when it is strung vertically. why?
The tension vector's vertical components must add up to the weight, hence the vectors along the rope will be extremely enormous.
What is tension ?In physics, tension is defined as the pulling force transmitted axially by a string, cable, chain, or other similar object, or by each end of a rod, truss member, or other comparable three-dimensional object. Tension can also be defined as the action-reaction pair of forces acting at each end of the aforementioned elements.
A force throughout a medium's length is known as tension, particularly a force carried by a flexible medium like a rope or cable. An action-reaction pair of forces acting at each end of the mentioned elements is what is referred to as tension.
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can someone tell me if this picture has light pollution in it pls?
Answer:
Yes
Explanation:Yes it has light pollution
Some rocks are pushed deeper into the earth. As these rocks experience greater heat and pressure, what type of rock will they turn into if they do not melt?.
Some rocks are pushed deeper into the earth. As these rocks experience greater heat and pressure, they will turn into metamorphic rocks if they do not melt.
Although they began as a different kind of rock, metamorphic rocks have undergone significant alteration from their igneous, sedimentary, or previous metamorphic forms. When rocks are exposed to extreme temperatures, high pressures, hot mineral-rich fluids, or, more frequently, some combination of these conditions, metamorphic rocks are created.
Metamorphic rocks, which have been exposed at the Earth's surface as a result of erosion and uplift, can be studied to learn more about the pressures and temperatures that exist at extremely deep levels of the crust. The metamorphic rocks gneiss, slate, marble, schist, and quartzite are a few examples.
The two classifications of metamorphic rocks are foliates and non-foliates. Micas and chlorites make up a sizable portion of foliates.
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The complete question is ''Some rocks are pushed deeper into the earth. as these rocks experience greater heat and pressure, what type of rock will they turn into if they do not melt?
a. molten
b. sedimentary
c. igneous
d. metamorphic
Two airplanes leave an airport at the same
time. The velocity of the first airplane is
710 m/h at a heading of 27.5
◦
. The velocity
of the second is 650 m/h at a heading of 167◦
.
How far apart are they after 3.3 h?
Answer in units of m.
The distance between first airplane and second airplane after 3.3 hours of their departure is 4210.67 meters
Write cosine formula for vector addition?The cosine formula for vector addition is -
|R|² = |A|² + |B|² + 2AB cosφ
Where - φ is the angle between vectors A and B.
Given is two airplanes that leave the airport at same time. The velocity of the first airplane is 710 m/h at a heading of 27.5°. The velocity of the second airplane is 650 m/h at a heading of 167°.
The length of the position vector of first airplane →
|OA| = velocity x time = 710 x 3.3 = 2343 miles.
The length of the position vector of second airplane →
|OB| = velocity x time = 650 x 3.3 = 2145 miles
Angle between vectors OA and OB →
φ = 167° - 27.5° = 139.5°
In the triangle ΔOAB, using the triangle law of vector addition, we get →
OA + AB = OB
AB = OB - OA
AB = OB + (- OA)
Now, using the formula for resultant of addition of two vectors →
AB² = (OB)² + (- OA)² + 2(OA)(- OB) cosφ
AB² = OB² + OA² + - 2(OA)(OB)cosφ
AB² = 54,89,649 + 46,01,025 - 2 x 2343 x 2145 x cos(139.5°)
AB² = 54,89,649 + 46,01,025 - 2 x 2343 x 2145 x - 0.76
AB² = 1,00,90,674 + 76,39,117.2 = 1,77,29,791.2
AB = √1,77,29,791.2
AB = 4210.67 meters
Hence, the distance between first airplane and second airplane after 3.3 hours of their departure is 4210.67 meters
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formula one racers speed up much more quickly than normal passenger vehicles, and they also can stop in a much shorter distance. a formula one racer traveling at 90 m/sm/s can stop in a distance of 110 mm
The acceleration of the car is found to be 36.8m/s²
The formula One car stops so, the final speed of the car (v) = 0 and the initial speed of the car is given 90m/s.
Distance covered by car ( s) = 110m.
Now we calculate the acceleration of the car by third equation of motion,
v²-u² = 2as
0-902 = 2a ×110
a = 902/2×110 = 36.8m/s².
Formula one cars can reach 60 mph from 0 in about 2.6 seconds. This may seem slow given their highest speed, but because much of their speed comes from aerodynamics, which performs better the faster the car is moving, they are unable to start with all of their power.
The rate of change of velocity with respect to time is known as acceleration. It’s SI unit is m/s².It is a vector quantity. Acceleration can be found out by the help of first and third equation of motion which are F= ma and v ²=u² + 2as.
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Light with a frequency of 7. 30 x 10^14 hz lies in the violet region of the visible spectrum. What is the wavelength of this frequency of light?.
Light with a frequency of 7. 30 x 10^14 hz lies in the violet region of the visible spectrum. The wavelength of this frequency of light is 4×10^-7 m.
As we know
c = λf
where
c is the speed of light, λ is wavelength and f is frequency.
Given:
c = 3×10^8
f=7.3×10^14
Putting the values
λ = c/f
λ = 3×10^8/7.3×10^14
λ = 4×10^-7 m.
The wavelength is 4×10^-7 m.
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a rocket moves through outer space at 12,800 m/s. at this rate how much time would be required to travel the distance from earth to the moon, which is 380,000 km?
The time required to travel the distance from earth to the moon, which is 380,000 km is 34545.45sec.
To find timeThe formula of speed is speed = distance/time. To check out what the checks are for speed, you must to understand the units for distance and time.
As we know that
Speed = distance/ time
first, convert km into m of distance
then 380,000 km distance will be 380000000m.
putting the given values in the formula
12800 = 380000000 / time
The time required would be
34545.45 seconds.
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a ball is thrown downward from the top of a 210 m building. at the same time, another ball is thrown upward from the ground level with a speed of 25 m/s
The time when both the balls meet is found to be 8.4seconds.
By Newton’s third equation of motion
h = ut -1/2 gt²
-(210-h) = ½ ×gt²
h= 210 -1/2 gt² (eq.1)
Now, we apply same equation for the ball thrown upward with initial speed of 25m/s
h = ut -1/2 gt²
h = 25t -1/2gt² (eq.2)
On comparing eq. 1 and eq. 2 we get,
210 -1/2gt² = 25t -1/2gt²
210 = 25t
t = 8.4 sec.
Thus, the time when both the balls meet is found to be 8.4sec.
There are three laws of motion, which are stated by Sir, Isaac Newton. He describes the relation between the motion of the object and the forces which are acting on it during a projectile or simple motion. On the basis of three laws of motion, equations are dervied which are used to find the speed, height, velocity or acceleration of the object.
The three equations of motions are as follows:-
1. V= u + at
2. S= ut +1/2 at²
3. v²=u² + 2as.
Where, v is the final velocity, u is initial velocity, a is acceleration, s is distance covered and t is time taken.
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I throw a rock at 20 m/s off of a cliff. If it takes 5 s to hit the ground, how tall was the cliff
Answer:
100 meters, I believe.
Explanation:
The correct answer for the value of height of the cliff is [tex]22.5[/tex] meter.
Given:
initial velocity: [tex]20[/tex] m/s
Final velocity: [tex]0[/tex] m/s
Time taken: [tex]5[/tex] seconds
To calculate height of the cliff, Use equation of motion:
[tex]s= ut + \dfrac{1}{2}gt^2[/tex]
[tex]g[/tex] will be negative as rock is thrown below the initial point.
[tex]s=[/tex] Height of the cliff
[tex]= 20*5 + \dfrac{1}{2} *(-9.8) * 25[/tex]
[tex]= 100 - 122.5[/tex]
[tex]= -22.5[/tex] meter
negative sign indicates downward direction
Height of the cliff is [tex]22.5[/tex] meter.
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he speed of sound through air is linearly related to the temperature of the air. if sound travels at 324 m/ sec at 0 degrees celcius and at 344 m/ sec at 0 degrees celcius
The speed of sound through air is linearly related to the temperature of the air is 1m/ sec per degree Celcius.
The speed of sound through air is linearly related to the temperature of the air. If sound travels at 324 m/sec at 0 degrees Celcius and at 344 m/ sec at 20 degrees Celcius.
1. Construct a literal model relating the speed of sound (s) and the air temperature (t). Interpret the slope of this model.
From the word, the problem pulls out the two points (0,324) and (20,344). Use these to find the slope of the linear model.
[tex]\frac{(344-324)}{(20-0)}[/tex] so the slope is 1m/sec/deg or change of speed of sound per degree change in temperature
plugging this into the point-slope equation for a line where y=s and x=t
s-324 = 1(t-0)
the linear model is s =t + 324
2. Interpret the slope of this model
a) The rate of change of speed of sound with respect to temperature is 1m/ sec per degree Celcius.
In terms of physics, sound may be a vibration that travels through a transmission medium like a gas, liquid, or solid as a sound wave. Sound is the reception of these waves and the brain's perception of them in terms of human physiology and psychology. Only acoustic waves with frequencies between roughly 20 Hz and 20 kHz, or the audio range, can cause people to have an auditory sensation. These are sound waves with wavelengths starting from 17 meters (56 ft) to 1.7 millimeters in the air at air pressure (0.67 in). Ultrasounds are sound waves with a frequency above 20 kHz that are inaudible to humans. Infrasound refers to sound frequencies below 20 Hz. Animals of various species have different hearing ranges.
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Which part of solar system:
A Earth
B Saturn
C Mars
D Mercury
The magnitude of the electric field e outside the sphere at a distance 3r from the center of the sphere is:_________
Zero. Because electric field inside a charged conductor is always zero.
Explain what the electric field is.A region of space surrounding an electrically charged particle or object known as an electric field is one in which an electric charge would experience force.
A vector quantity called an electric field can be represented by arrows pointing in the direction of or away from charges.
What are electric field and what does it mean in SI?Volts per metre (V/m) is the electrical field’s SI unit.
The Newton’s per coulomb unit is the same as this one. These are derived units in which Newton is a force unit and Coulomb is a charge unit.
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Select the option that best summarizes the reason for the use of position-time graphs when studying physical science. (1 point)
O Position-time graphs show the relationship between the position of an object (shown on the x-axis) and the time (shown on the y-axis) to show displacement.
O Position-time graphs show the relationship between the position of an object (shown on the y-axis) and the time (shown on the x-axis) to show acceleration.
O Position-time graphs show the relationship between the position of an object (shown on the y-axis) and the time (shown on the x-axis) to show displacement.
O Position-time graphs show the relationship between the position of an object (shown on the y-axis) and the time (shown on the x-axis) to show velocity.
x
====================================Position, Distance, and Displacement
========================================================
Hello! Lets begin!
1. Which answer best describes displacement?
A) Displacement is a vector quality showing total length of an area traveled by a particular object.2. Kelley is playing pool and hits the cue into the nine ball, which is directly in the center of the pool table. The nine ball travels a total of 7 meters before stopping, 1 meter to the left of the initial starting point of the nine ball. Which sentence reflects the correct statement regarding distance and displacement when considering the motion of the nine ball?
D) The nine ball traveled a distance of 7 meters and was displaced by 1 meter.3. What is velocity?
B) Velocity is a vector quantity that tells the distance an object has traveled over a period of time.4. Imagine a time-position graph where the velocity of an object is constant. What will be observed on the graph concerning the slope of the line segment as well as the velocity of the object?
C) The slope of the line is equal to zero and the object will be stationary.5. Select the option that best summarizes the reason for the use of position-time graphs when studying physical science.
B) The position-time graphs show the relationship between the position of an object (shown on the y-axis) and the time (shown on the x-axis) to show velocity._______________________________________________________
Good luck my peeps! ;D
The position-time graphs show the relationship between the position of an object (shown on the y-axis) and the time (shown on the x-axis) to show velocity.
What is velocity?Velocity is a vector quantity that tells the distance an object has traveled over a period of time.
Displacement is a vector quality showing total length of an area traveled by a particular object.
Imagine a time-position graph where the velocity of an object is constant. What will be observed on the graph concerning the slope of the line segment as well as the velocity of the object?
The slope of the line is equal to zero and the object will be stationary.
The position-time graphs show the relationship between the position of an object (shown on the y-axis) and the time (shown on the x-axis) to show velocity.
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A science student is riding on a flatcar of a train traveling along a straight horizontal track at a constant speed of v1. The student throws a ball along a path that she judges to make an initial angle of θ with the horizontal and to be in line with the track. The student’s professor, who is standing on the ground nearby, observes the ball to rise vertically. How high does the ball rise?.
The ball rises to a height of s = ( [tex]V_{1}[/tex] tan θ )² / 2g m
[tex]V_{y}[/tex] / [tex]V_{x}[/tex] = tan θ
Here [tex]V_{y}[/tex] is the vertical velocity and [tex]V_{x}[/tex] is the horizontal velocity which is the velocity of train.
[tex]V_{y}[/tex] = [tex]V_{1}[/tex] tan θ ( θ is the angle of projection )
We know that,
a = [tex]V_{y}[/tex] / t
t = [tex]V_{y}[/tex] / a
where,
a = Acceleration due to gravity = g
t = Time
s = ut + 1 / 2 at²
s = 1 / 2 ( g ) ( [tex]V_{1}[/tex] tan θ / g )²
s = ( [tex]V_{1}[/tex] tan θ )² / 2g m
The height of a projectile is the distance of thrown object from the point where it is thrown vertically.
Therefore, the ball rises to a height of s = ( [tex]V_{1}[/tex] tan θ )² / 2g m
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