Using time and velocity relationship, we concluded that he horse will be in air for 0.80 seconds.
What is the relationship between time and velocity?velocity-time. In evenly accelerated, straight-line motion, the relationship between velocity and time is straightforward. The magnitude of the velocity change increases with lengthier acceleration. When acceleration is constant, the change in velocity is exactly proportional to time.
Both the horse and the human have constant accelerations, which are 0 for the horse and g downward for the human.
(A) Take into account the man's vertical motion after he leaves the limb (with v₀ = 0, yi = 3m).
Finding the man's time of fall from y = y₀ + vt + 1/2 a t² requires modeling him as a particle with continuous acceleration.
when v₀ = 0
t = √(2(y - y₀)/a)
= √ (2(0 - 3) / -9.28)
= √0.64
= 0.80s
Complete Question -
A daring ranch hand sitting on a tree limb wishes to drop vertically onto a horse galloping under the tree. The constant speed of the horse is 10.0m/s, and the distance from the limb to the level of the saddle is 3.00m. (a) For what time interval is he in the air?
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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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The speed of a projectile when it reaches its maximum height is one-half its speed when it is at half its maximum height. What is the initial projection angle of the projectile?.
The speed of a projectile when it reaches its maximum height is one-half its speed when it is at half its maximum height. The initial angle of the projectile is 67.8°.
The motion from zero to maximum height is :
Vyi = √2gh
Now the motion from zero to half of the maximum height is :
Vyh = √gh
At maximum height, the speed is Vx = √Vx^2+Vyh^2/2
Vx =√Vx^2+gh/2
by simplifying,
Vx = √gh/3
To find the angle of projection
∅ = tan^-1(Vyi/Vx) = √2gh/√gh/3
∅ = 67.8°
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How much force is needed to stop a 100-kg football player if she negatively accelerates (decelerates) at 20 m/s2? responses 5 n 5 n 20 n 20 n 200 n 200 n 2000 n
200N force is needed to stop a 100-kg football player if she negatively accelerates (decelerates) at 20 m/s2
we have given in the statement
mass=100kg
acc= -20m/s^2
F=?
from newton's formula, we will find force
F=ma
F=100kg×20m/s^2
F=200N
The SI unit of force is the Newton. It is described as the force that propels a mass of 1 kilogram at an acceleration of 1 meter per second squared. Its sign is the capital N, which is expressed as 1N=1 kg m s2.A body's rate of linear momentum change is directly proportional to the applied force, and the change occurs in the direction of the applied force. An illustration of this relationship is When a truck and a vehicle are pushed with the same effort, it is noticeable that the automobile accelerates more quickly than the truck since its mass is lower.To know more about force visit : https://brainly.com/question/1675020
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problem 11.021 - particle motion - dependent multi-part problem - assign all parts skip to question note: this is a multi-part question. once an answer is submitted, you will be unable to return to this part. the acceleration of a particle is defined by the relation a
The velocity of particle when x = -2m is 4.7 m/s.
Acceleration of a particle, a = k ( 1 - [tex]e^{-x}[/tex])
Velocity of the particle, v = +9 when x = -3m
Velocity of the particle, v = 0 when x = 0
We konw that acceleration is:
[tex]a = \frac{dv}{dt}[/tex]
[tex]a= \frac{dx}{dt}.\frac{dv}{dx}[/tex]
[tex]a=v[\frac{dv}{dx}][/tex]
Now,
v dv = a dv .........(i)
Putting a = k ( 1 - [tex]e^{-x}[/tex]) in (i), we get,
[tex]\frac{vdv}{dx}=k (1-e^{-x} )[/tex]
[tex]\int\limits^9_0 {v} \, dv = k\int\limits^3 _0 {(1-e^{-x}) } \, dx[/tex]
[tex]\frac{81}{2} = k(-3 + e^{3}-e^{0} )[/tex]
[tex]\frac{81}{2}=k(-9 + e^{3})[/tex]
[tex]\frac{81}{2}= k[/tex] × [tex]16.0855[/tex]
[tex]k = 2.52[/tex]
Again,
[tex]\int\limits^v_0 {v} \, dx=k\int\limits^2_0 {(1-e^{-x)} } \, dx[/tex]
[tex]\frac{v^{2} }{2}= 2.52 [ (-2 +e^{2}-(0+e^{0})[/tex]
[tex]v= 4.70 m/s[/tex]
Therefore, the velocity of particle when x = -2m is 4.7 m/s.
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The acceleration of a particle is defined by the relation a= k (1 - [tex]e^{-x}[/tex]), where k is a constant. The velocity of the particle v =+9 m/s when x = -3m and it comes to rest at the origin. Obtaining velocity from a position-dependent acceleration by integration. Also, determine the velocity of the particle when x = -2 m.
jupiter has a mass of approximately . jupiter’s moon ganymede has a mass of approximately and it orbits jupiter at a distance of approximately . calculate the approximate magnitude of the attractive gravitational force between ganymede and jupiter.
The approximate magnitude of the gravitational force between Ganymede and Jupiter is 16.35 x 10^21 N.
According to Newton’s Law of Gravitation, the gravitational force between two bodies is directly proportional to the masses of the two objects and is inversely proportional to the square of the distance between them.
The above statement can be represented by the following equation:
F = Gx (m1)x (m2)/r^2
Here G = Universal Gravitational Constant = 6.67 x 10^-11 N m^2/kg^2
m1 and m2 are the masses of two bodies
r is the distance between the bodies
Putting m1= Mass of Jupiter= 1.89 x 10^27 kg
m2 =Mass of Ganymede 1.48 x 10^23 kg
r = Distance between Jupiter and Ganymede = 1.07 x 10^9 meters
F = 6.67 x 10^-11 x 1.89 x 10^27 x 1.48 x 10^23/(1.07 x 10^9)^2
On solving the above equation F comes out to be 16.35 x 10^21 N.
Thus, the approximate magnitude of the gravitational force between Ganymede and Jupiter is 16.35 x 10^21 N.
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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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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.
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
Photons are shone on a piece of metal and one electron is ejected for each absorbed photon. What happens when the wavelength of light is decreased?.
The ejected electrons would have greater kinetic energy if the wavelength of light is decreased when Photons are shone on a piece of metal and one electron is ejected for each absorbed photon.
What is Kinetic energy?This is referred to as the type of energy which is possessed by a body by virtue of its motion and it has an inverse relationship with the wavelength of light.
This therefore means that as the wavelength of light is decreased, the kinetic energy of the ejected electrons will increase and vice versa which is therefore the reason why it was chosen as the most appropriate choice.
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Explain how economics affects science
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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5- To steer an airboat, rudders sit behind the fan. When the air passes through the turned rudders, it turns the boat. Use Newton’s third law to construct an explanation on how the rudders turn the boats
Answer: the air exerts a force on the rudders, and the rudders will exert a force of equal magnitude and opposite direction on the boat causing the boat to start accelerating
Explanation:
a certain device has a voltage difference of 10 v across it. if 1 a of current is flowing through it from its ( ) voltage terminal to its (-) terminal, is the device a power supplier or a power recipient?
The given device is a power recipient, since the value of power calculated using Ohm's law is positive.
We know that,
P = V I
where,
P = Power
V = Voltage
I = Current
Given that,
V = 10 V
I = 1 A ( Since it is flowing from +ve to -ve )
P = 10 * 1
P = 10 W
Since the power is positive, the device is a power recipient.
Ohm's law states that the voltage difference between two points in a conductor is directly proportional to the current flowing from one point to another.
Therefore, the device is a power recipient
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An interior designer is choosing a paint color for a room and has two samples that are both blue, however one blue is described as brighter than the other. Both would have the same wavelength, but would differ based on what physical property of light?.
An interior designer is choosing a paint color for a room and has two samples that are both blue, however one blue is described as brighter than the other. Both would have the same wavelength but would differ due to the amplitude property of light.
The amplitude plays an important part in differentiating the same colors of the same wavelength. It tells us about the brightness or intensity of a certain light wave as compared to others of the same wavelength. So, whenever two same colors look different due to brightness, it is due to the amplitude property of the light.
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When an alternating current circuit supplies power to a ? load, the circuit voltage and current are in-phase with each other. this is also known as unity power factor.
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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In this lab, you will use a falling cylinder attached to a
propeller in a water bath to explore the conversion of
energy in a system. You will vary two different variables
and determine how each one affects the temperature of
the water. In the space below, write a scientific question
that you can answer by doing this experiment.
In a lab, while performing the experiment, one question that I will ask will be - How potential energy can be converted into thermal energy? The answer for tat will be by seeing and understanding the sample response in the experiment.
What separates potential energy from thermal energy?Potential energy is released from them when they are divided. A particle's potential energy increases with distance. As they gain speed, their kinetic energy increases. The thermal energy of an object is the sum of the kinetic and potential energies of all the particles.
What gives thermal energy its potential?Energy from heat transfer as potential and kinetic energy
This occurs as a result of the attractive forces they generate for one another. Additionally, the particles are forced apart by a rise in body temperature. As a result, as their potential energy rises, so do the forces of attraction between them.
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What is the purpose of a standard drink measurement? alcoholedu for college exam
The standard drink measurement should contain 14 grams of pure alcohol in United States of America.
What is the purpose of a standard drink measurement?
The standard drink measurement should contain 14 grams of pure alcohol in United States of America.
The standard drink measurement has a wide range of use in today's life because with the help of this an alcohol can be balanced in a consistent way.
So we can also conclude the standard drink measurement should contain 14 grams of pure alcohol in United States of America.
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The standard drink measurement should contain 14 grams of pure alcohol in United States of America.
What is the purpose of a standard drink measurement?The standard drink measurement should contain 14 grams of pure alcohol in United States of America. The standard drink measurement has a wide range of use in today's life because with the help of this an alcohol can be balanced in a consistent way. In the United States, one "standard" drink contains about 14 grams of pure alcohol which is usually about 5% alcohol. We know that 5 ounces of wine, has about 12% alcohol, 1.5 ounces of distilled spirits which is 40% alcohol.
So we can also conclude the standard drink measurement should contain 14 grams of pure alcohol in United States of America.
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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
URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
If Janie puts her hand on a cold metal doorknob, how will thermal energy move?
Answer:
Metal appears cool on touching because heat flows from body( at higher temperature) to iron( at lower temperature)
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!
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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You are sitting next to a person who has twice as much weight. Are you gravitationally attracted to them? if so, is it twice as much as their attraction to you? if not, why not?.
Yes, I will be gravitationally attracted to the person who has twice as much weight sitting next to me. The gravitational attraction would be equal.
Gravitational pull is the force that everybody on Earth experiences. This force tends to pull a person to the center of the Earth.
The force of gravity is dependent on the masses that each object has. In the case above, the gravitational attraction between you and the person next to you with twice as much weight will be the same because the gravitational pull will be dependent on the product of the two masses of you and the other person. Hence, you are being attracted to that person with the same gravitational force with which he is being attracted to you.
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An object is lifted from the surface of a spherical planet to an altitude equal to the radius of the planet. As a result, what happens to the mass and weight of the object?.
The mass of the object remains the same but the weight decreases as the object move upward.
Because mass is the amount of matter in an item and does not change with gravity, mass remains constant. If the amount of matter didn't change, it would stay the same. We can observe that this innate quality, mass, never changes and remains the same wherever we place it in the universe.
According to a new high-resolution map, a person can weigh differently depending on where they are on Earth due to changes in the planet's gravity. Many people believe that gravity is constant over the entire planet, however, scientists have shown that gravity varies because the planet is not perfectly spherical or uniformly dense.
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you are exploring a newly discovered planet. the radius of the planet is 7.40 × 107 m. you suspend a lead weight from the lower end of a light string that is 4.00 m long and has mass 0.0280 kg. you measure that it takes 0.0605 s for a transverse pulse to travel from the lower end to the upper end of the string. on earth, for the same string and lead weight, it takes 0.0320 s for a transverse pulse to travel the length of the string. the weight of the string is small enough that its effect on the tension in the string can be neglected.
The mass of the Other planet is 2.81 x 10²⁶ m for the given parameters.
What does the mass of a planet mean?In astronomy, the term "planetary mass" refers to the measurement of an object's mass that resembles a planet. The mass of the Sun, solar mass (M), is used as the unit of mass in the astronomical system of units, which is frequently used to estimate the sizes of planets in the Solar System.
Given,
The radius of the other planet is 7.40 x 10(7) meters.
String mass is M=0.028kg.
The string's length is L=4m.
Time (Tp) = 0.0605 seconds on other planets.
Te is the same as 0.0320 seconds.
Locating lead on Earth should be the first step.
This is the equation for linear mass density:
μ = M/L = 0.028/4 = 0.007 Kg/m
In this case, the wave's speed is given by the equation Ve = L/t = 4/0.032 = 125 m/s.
The formula produces the tension of the spring (Fe);
Fe = (Ve)2 = 0.007 x 125 = 0.87 N
The findings of applying Newton's second rule of motion to this earth lead are as follows:
0 if Fy = Fe-Wl.
Fe - W(l) = 0, which leads to Fe = W. (l)
We know that Weight(W) = Mg.
Me = M(l)g, so Fe.
Where M(l) is the mass of the lead, and g is the acceleration brought on by gravity on earth, which is 9.81.
As a consequence, M(l) = Fe/g = 0.875/9.81 = 0.089kg.
Use the same method to calculate the lead on the second planet;
The linear density of a material is a property that doesn't change:
μ = 0.007 Kg/m
In this case, the wave's velocity is given by the equation Vp = L/t = 4/0.0605 = 66.11 m/s.
The formula produces the tension of the spring (Fp);
Fp = (Vp)2, which equals 30.59 N or 0.007 x 66.112 N.
The findings of applying Newton's second rule of motion to this earth lead are as follows:
Fy = Fp – Wl = 0
As a consequence, Fe - W(l) = 0 and Fp = W. (l)
We know that weight(W) equals mass (Mg) (p)
Consequently, Fp = M(l)g (p)
where M(l) is the mass of the lead and g(p) is the acceleration brought on by the gravity of the other planet.
As a consequence, gp = Fp/M(l) = 30.59/0.089 = 343.70 m/s2.
The planet's acceleration may be calculated using the gravity equation using the formula g = (GM)/r2.
As M is the subject, we have;
(gr²)/G = M
Gravitational constant G has a value of 6.6742 x 10(-11) Nm2/kg2.
M is the planet mass.
the planet's radius r
Thus;
M = [343.70 x (7.4 x 10^(7))²] / 6.6742 x 10^(-11)
Mass = 2.81 x 10^(26)m
Complete Question -You are exploring a newly discovered planet. The radius of the planet is 7.20 × 107 m. You suspend a lead weight from the lower end of a light string that is 4.00 m long and has mass 0.0280 kg. You measure that it takes 0.0685 s for a transverse pulse to travel from the lower end to the upper end of the string. On earth, for the same string and lead weight, it takes 0.0370 s for a transverse pulse to travel the length of the string. The weight of the string is small enough that its effect on the tension in the string can be neglected.
Part A
Assuming that the mass of the planet is distributed with spherical symmetry, what is its mass?
Express your answer with the appropriate units.
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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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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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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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(fill in the blank). _______ is how far an object has moved.
a. Distance
b. Displacement
c. Velocity
d. Rate
Answer:
Distance
Explanation: