The rock from the sling will hit Goliath at the speed of 6m/s and if it didn't hit Goliath then it continues its trajectory and hits ground at the velocity of 14 m/s due to longer surfing in the air by the rock.
What is Newton's law of motion?Newton gave three laws of motion which can be utilised to find the velocity, acceleration and displacement of a body. These laws are only applicable for constant acceleration.
Given:
Distance of the sling when pulled = 5.75 ft
Angle with the horizontal = 4.43°
Distance from the ground = 4.75 ft
1) In the first case The Rock hits Goliath in mid air.
We have all the values required for calculation of the final velocity of the rock while it hits Goliath we will have to just substitute these values in Newton's first law of motion.
Where,
Initial velocity of the rock 6.89m/s
On substitute this values in Newton's first law of motion we get.
Final velocity = 6.72 + π × 6.98 g -9.8e
Final velocity = 6 m/s
2) If the rock does not hit Goliath then the rock will continue the trajectory for some longer. It is given in the question that the distance between these links and the ground is equal to 4.75 feet.
Adding the progression value in the velocity with which it hits the Goliath.
We get, the velocity of the rock when hits the ground equal to = 14m/s.
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Describe how the structure of the kangaroo paw flower fits with a bird pollinator.
The structure of the kangaroo paw flower fits with a bird pollinator because of its tabular structure.
How the structure of the kangaroo paw flower fits with a bird pollinator?The tabular structure of the kangaroo paw flower fits with a bird pollinator because it gives easy access to the nectar of the flower. These flowers are covered with hairs and have pointed lobes, which are in curved shape at their tips that gives them the appearance of kangaroo paws. These curved tips and tabular structure provides good access to the bird pollinators as well as the colorful petals also attracts the pollinators towards itself.
So we can conclude that The structure of the kangaroo paw flower fits with a bird pollinator because of its tabular structure.
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Step 5: Measure the Speed of the Toy Car on the Higher Track
alculate the average time the car took to reach each
heckpoint. Record the average time in Table D of your
Student Guide.
The average time to the first quarter checkpoint is
seconds.
The average time to the second quarter checkpoint is
seconds.
The average time to the third quarter checkpoint is
seconds.
The average time to the finish line is ✓seconds
The average for each checkpoint is:
point 1 t_{avg} = 2.07 sec
point 2 t_{avg} = 3.16 sec
point 3 t_{avg} = 4.11 sec
point 4 t_{avg} = 4.92 sec
We have the graph for each interval.
The magnitude of the average is:
t_{avg} = Σ ( t_(i) / n)
where t_{avg} is the average time, t_(i) each time the magnitude is measured and n is the number of times the measurement is repeated for the same point.
The table for the times measured for each interval is:
Measurement times for each interval
1 2 3 4
1 2.02 3.17 4.12 4.93
2 2.05 3.07 3.98 4.81
3 2.15 3.25 4.23 5.01
Now, the average time to reach the get married checkpoint is:
For point 1:
t_{avg} = (2.02 + 2.05 + 2.15) / 3
t_{avg} = 2.07 s
For point 2:
t_{avg} = (3.17 +3.07 + 3.25) / 3
t_{avg} = 3.16 s
For point 3:
t_{avg} = (4.12 + 3.98 + 4.23) / 3
t_{avg} = 4.11 s
For checkpoint 4:
t_{avg} = (4.93 + 4.81 + 5.01) / 3
t_{avg} = 4.917 s
We employ the significant figures criterion for the sum, which is steady in that the result must be provided with the least amount of decimal places.
t_{avg} = 4.92 s
Therefore, the average times for each checkpoint are:
point 1: t_{avg} = 2.07 s
point 2: t_{avg} = 3.16 s
point 3: t_{avg} = 4.11 s
point 4: t_{avg} = 4.92 s
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What was the opening price of Dow Jones Industrial Average on Oct 20, 2017 in the format of XXXXX.XX?
This implies that the opening price was 21080.28.
Closing index = 21029.47
plus down movement =50.81
The Dow Jones Industrial Average measures the stock price performance of 30 large companies listed on US stock exchanges. Stock index. Others include the S&P 500 Index and NASDAQ.
The Opening Price Index represents the average opening price of the day before the trading day. During trading, the price must have experienced fluctuations, ups and downs. However, at the end of the trading day, the closing price was reported at 21029.47, down 50.81.
Adding back from this closing index report, the opening price was 50.81 or about 51 basis points higher than the closing price.
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A dart is thrown horizontally at a speed of 12 m/s at the bull's-eye of a dartboard 2.7 m away. How far below the intended target does the dart hit (in m)?
The distance below the intended target the dart hit is 0.26 m.
Time of motion of the dartThe time taken for the dart to fall is calculated as follows;
X = Vxt
where;
X is the horizontal displacementVx is the horizontal speedt is time of motiont = X/Vx
t = 2.7/12
t = 0.23 seconds
Height of fall of the darth = vt + ¹/₂gt²
where;
v is initial vertical velocity = 0h = ¹/₂gt²
h = ¹/₂(9.8)(0.23²)
h = 0.26 m
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What is the sum of the following vectors?
Answer:h
Explanation:
Due to which of the following phenomena, the coloured glass appears white when crushed into fine powder?
Total Internal Reflection
Diffraction
Scattering
Refraction
The phenomenon due to which the colored glass appears white when crushed into a fine powder is known as total internal reflection. Thus, the correct option for this question is A.
What is Total internal reflection?Total internal reflection may be defined as a phenomenon that significantly involves the reflection of a ray back to the identical medium when glancing from a denser medium to a rarer medium in such a way that the angle of incidence is found to be greater than its critical angle.
Due to this phenomenon of total internal reflection, not partial but complete reflection of a ray of light within a medium occurred within the surroundings of a medium such as water or glass. As a result of this, the colored glass appears white when crushed into fine powder.
Therefore, the total internal reflection is the phenomenon due to which the colored glass appears white when crushed into a fine powder. Thus, the correct option for this question is A.
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Given a cylinder with a radius of 14.4 cm and a height of 16.8 cm, find the lateral surface area
Answer:
1520.03cm²
Explanation:
AL=2πrh=2·π·14.4·16.8
27. Raven is a geologist. She is measuring something called the porosity of a rock. The actual porosity of the rock sample is 0.114. Raven measures the porosity as 0.120. What is Raven's percent error on this
measurement?
0.0526%
0.006%
0.600%
5.26%
Raven's percentage error of the measurement is 5.26%
Formula for percentage errorPercentage error = (absolute error / standard measurement) × 100
How to determine the percentage error on the measurementThe pecenrage error of the measurement can be obtained as illustrated below:
Standard measurement = 0.114Measured value = 0.120Absolute error = 0.120 - 0.114 = 0.006Percentrage error =?Percentage error = (absolute error / standard measurement) × 100
Percentage error = (0.006 / 0.114) × 100
Percentage error = 5.26%
Thus, the perecentage error of Raven's measurement is 5.26%
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Answer:
I think the answer is 5.26%
but please let me know if I was wrong.
5.26% is the answer I got
Explanation:
What is the sum of the following vectors?
Answer:
-5
Explanation:
the red line is showing that you are going down to -8 and the blue line is showing that you should go up, which means you are adding three to -8. When 3 is added to -8, you get -5.
You're driving past a llama farm at 14 m/s when a llama wanders into the road in front of you. You're reaction time is 0.05 seconds before you hit the brakes. The llama is 2.9 m away. What must be the braking acceleration of your car to just stop in time? Enter the acceleration as negative.
The breaking acceleration of the car must be - 44.5 m/s² so that the car stops in time and avoid hitting the Ilama.
Given in the question
The car is driving at the speed of 14 m/s and the reaction time is 0.05 seconds. So the distance traveled by car before hitting the break is,
Distance = Speed × time
Distance = 14 × 0.05
Distance = 0.7 meters
So, now the Ilama is 2.9 meters away and the distance traveled before hitting the break is 0.7 meters.
So the stopping distance = Distance of Ilama - distance traveled before hitting the break
So stopping Distance = s = 2.9 - 0.7
stopping Distance = s = 2.2 m
Now we have
Initial Velocity = u = 14 m/s
Final Velocity = v = 0 m/s [ as after applying the break, the car comes to rest]
Stopping Distance = s = 2.2 m
Using the third equation of motion
v² - u² = 2as
Put in the value, we get
(0)² - (14)² = 2a(2.2)
4.4a = - 196
a = -196/4.4
a = - 44.5 m/s²
Therefore, the breaking acceleration of the car must be - 44.5 m/s².
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Studying close relatives allows behavarial genetistics to determine
Behavioral geneticists can ascertain how genes affect the environment and population by examining close relatives. Additional explanation Individual variances result from variations in hereditary variables.
Gender, disorders/diseases, blood type, and other characteristics that each person possesses can be handed down to their offspring. The expansion of the human population is facilitated by these genetic variations. The carrying capacity of the ecosystem is influenced by the population. The ability of the environment to provide the resources it possesses for a creature's life within reasonable bounds is known as carrying capacity. Environmental issues will arise if the population surpasses the carrying capacity of the resources generated or made available.
These issues include a lack of available natural resources, the growth of pollution, or competition for scarce natural resources. so that initiatives to manage or control the environment, such as recycling or processing industrial waste, can be made. To lessen environmental exploitation that affects the entire human population, the study of human behavior based on the nature of genes will be helpful. Studying close relatives enables behavioral geneticists to ascertain the effect of humans from the nature of their genes on the carrying capacity of the environment and their effect on living populations. The population of quality and productive human resources will have a positive impact on the environment.
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Explain how strategy and tactics are important in sports and games? PLEASE HELP
Strategy and tactics are important in sports and games as they help the players define their objectives, work towards them and achieve them using their competitive advantage.
What is strategy in sports?Strategy in sports refers to the plans used to reduce uncertainty that following one course of action will worsen the team's position, that is using another plan.
Strategy is important is it enables the player to have a predefined target and also work towards them.
What is tactics in sports?Tactics are actions and strategies planned to achieve an overall objective in sport that objective is predominantly to win.
Tactics can depend on a number of factors such as opposition, players available for selection, the importance of the game and possibly even weather.
Thus, Strategy and tactics are important in sports and games as they help the players define their objectives, work towards them and achieve them using their competitive advantage.
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A cheetah Can maintain its 97.1 kilometers per hour and a gazelle can run at a maximum speed of 79.2 kilometers per hour. If both animals are running at full speed, with the gazelle 52.2 meters ahead how long until the cheetah catches its prey?
The correct answer is 10498.3.
The speed of an object is calculated when it moves from one spot to another in time interval t by dividing the distance between the two locations by the time interval. As a result of this definition, the longer it will take the object to travel the specified distance, the greater the separation between the two points.
x = x_0 + (v_x) t
In case of cheetah:
x_0 = 0;
v_c = 97.1 km/h
x = 97.1t _____(1)
In case of gazelle;
x_0 = 52.2 m = 52.2 × 10^-3 km
v_c = 79.2 km/hr
x = 52.2 × 10^-3 + 79.2t ______(2)
equating 1 and 2
52.2 × 10^-3 + 79.2t = 97.1t
52.2 × 10^-3 = 97.1t - 79.2t
52.2 × 10^-3 = 17.9t
52.2 × 10^-3×3600/17.9 = t
t = 10498.3
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When you see a traffic light turn red, you apply the brakes until you come to a stop.
If your initial speed was 19 m/s, and you were heading due west, what was your average velocity during braking? Assume constant deceleration.
Answer:
9.5m/s west
Explanation:
Average v= (Final v+Initial v)/2
Average v=(0+19m/s)/2
=9.5m/s west
What are some examples of motion? Include the examples you found and describe an accurate frame of reference for one example. Then, describe an inappropriate frame of reference for that example.
Walking, running, and breathing are examples of motion. For rolling of ball, the street is a frame of reference and an insect on the ball is an inappropriate frame of reference.
A frame of reference, also known as a reference frame, is a perspective used in physics to assess whether an object is moving. A frame of reference is an environment or object that is thought to be stationary. The Earth itself, despite its motion, serves as the most frequently used frame of reference.
Some examples of motion are:
Motion is a part of many of our daily activities, including walking, running, closing doors, etc.
Another illustration of motion is the passage of air into and out of our lungs.
The vehicles that transport passengers between the point of pickup and the destination have motion.
A ball is rolling down the street that it is moving.
For a ball rolling down the street, the street is an appropriate frame of reference as it is rest as compared to the ball.
For the same example, the insect sitting on the rolling ball is a part of the rolling ball.
Therefore, the insect is an inappropriate frame of reference for the motion of the ball rolling down the street.
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Aliyah is driving up and down a street, looking for a parking spot. She drives 210 meters north, then
turns around and drives 370 meters south. Which of the following equations are accurate?
od
1
d =
160 m
d -
580 m
d=580 m
-160 m
Od-580 m
Od=-160 m
The equations that are accurate regarding the displacement by Aliyah is d vector = - 160 m and the distance travelled by Aliyah is d = 580 m
Total distance travelled = 210 + 370
Total distance travelled = 580 m
Displacement = Final position - Initial position
Final position = 370 - 210
Final position = 160 m
Displacement = 160 - 0
Displacement = 160 m South
Displacement = - 160 m
Distance travelled is a scalar quantity. So direction is not taken into consideration. Displacement is a vector quantity. Since her overall displacement is towards the south direction its value is negative.
Therefore, The equations that are accurate are:
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The Blue Origin rocket ship starts vertically upward from the launch pad a constant
acceleration of 6.3 m/sec2. How high does the rocket ship raise above the launch
pad after 94 seconds of flight?
Assume that the rocket ship moves vertically up all the time. Enter your answer in
meters (m).
The Height of the rocket ship rises above the launch pad after 94 seconds of flight is 47m
Constant upward Acceleration(a) = 6.3m/sec²
Initial Upward Velocity [tex]V_{i}[/tex] = 0
Final Upward Velocity [tex]V_{f}[/tex] = a × t
= 6.3 × 94
= 592.2 m/sec
Let Height be h
Using relation:
[tex]V_{f2}[/tex]² + [tex]V_{i^{2} }[/tex]² = 2 × a × h
592.2 - 0 = 2 × a × h
h = 592.2 / (2× a)
= 592.2 / 2*6.3
= 47 m
So height above the ground is 47 m
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What is the final velocity of the ball that is dropped from a height of 200m?
The final velocity of the ball that is dropped from a height of 200m is v = 44.73 m/s .
What is velocity with example?The rate at which an object is travelling in one direction is referred to as its velocity. an automobile traveling north on a highway, or a rocket taking off. Its velocity vector's absolute value always is equal to the motion's speed because it is a scalar.
Briefing:Given the initial velocity of the ball (u) = 0
Distance travelled by the ball (s) = 200m
Acceleration (a) = 10 m/s²
As we know:
v² = u² + 2as
Putting values:
v² = 0+2 × (10 m/s²) × (200 m)
v = 44.73 m/s.
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Aaron ran 500 meter in 100 Seconds. Find the speed in km per hour.
Answer:
50km
cuz he ran so fast in 100 seconds
if I have two forces pushing on an object 5n to the left and 10 N to the right, is this object balanced? why or why not?
Answer:
It is unbalanced
Explanation:
There are 5 more newtons of force being exerted toward the right.
Does anyone know the answer to this?
The force applied on the object caused a change in the acceleration of the object, from certain periods, the acceleration increased, in some periods it remained constant, while in some periods, the acceleration decreased to zero.
What is acceleration?
The acceleration of an object an object is the change in the velocity of the object with time.
a = Δv/Δt
where;
Δv is change in velocityΔt is change in timeFrom the given graph, we will explain the impact of the applied force on acceleration in the following points;
from time period 0 - 6 s, as the force applied on the object increases, the acceleration of the object increases as well.from 6 - 8 s, an applied force on object caused a rapid increase in the acceleration of the object.from 8 - 12 s, the applied force on the object did not cause any change in the acceleration of the object.from 12 - 14 s, an applied force on object caused a rapid increase in the acceleration of the object.from 14 - 20, when the velocity of the object reaches 25 m/s, an additional force on the object causes a rapid drop in the acceleration of the object.Thus, the force applied on the object caused a change in the acceleration of the object, from certain periods, the acceleration increased, in some periods it remained constant, while in some periods, the acceleration decreased to zero.
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Let's assume that India began to plow into the Asian continent 55 million years ago and that, since then, it has continued to uniformly move northward into the Asian continent at 6 centimeters per year (for 55 million years). Calculate the total distance (in kilometers) that India has plowed into Asia.
The total distance (in kilometers) that India has plowed into Asia is 330,000 km.
total distance (in kilometers) that India has plowed into Asia
The total distance (in kilometers) that India has plowed into Asia is calculated as follows;
distance = speed x time
distance = 6 cm/year x (55 x 10⁶ years)
distance = 330,000,000 cm
distance = 330,000 km
Thus, the total distance (in kilometers) that India has plowed into Asia is 330,000 km.
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1)What is the difference between graphing constant speed and increasing acceleration?
2)What is the difference between graphing no speed and a change in velocity?
HELLPPP
In the graphing of constant speed, we get a plateau while when we graph increasing acceleration, we have a straight line graph
What is the speed?The term speed refers to the change in the position of an object with time. If the speed changes by equal amounts in equal time intervals then we could say that the object is undergoing uniform acceleration. If the speed does not increase by equal amounts in equal time intervals then the objects is not undergoing a uniform acceleration.'
Thus if we plot the speed of a body against the time taken, the slope of the graph is taken to be the acceleration of the body. If the plot of the speed against the acceleration is a straight line graph that had started from the origin of the graph then we have a case of uniform acceleration.
Thus, in the graphing of constant speed, we get a plateau while when we graph increasing acceleration, we have a straight line graph that starts from origin.
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By referring to Figure B1 (b), calculate the voltage drop through each resist Voltage Divider Rule. 7V R₁ 10002 R₂ 22002 Figure B1(b)
The voltage drop in the second resistor such that the drop in the first resistor is 7 volts using conservation of potential in a loop we get the value of potential drop to be equal to 8 volts .
What is voltage?Voltage is a physical quantity that is responsible for movement of charges in a wire the difference in potential between two points causes the flow of charges.
Its S.I unit is voltage (V)
What is electric current?Electric current is a physical quantity which refers to the flow of electric charge per unit area across a cross section of unit area.
Its S.I unit is ampere (A).
Given:
Total voltage across the circuit = 15 V
Voltage drop across first resistor = 7V
Resistance of first resistor = 10002 ohm
Resistance of second resistor= 22002 ohm
Now we know about conservation of charge and Kirchhoff's law.
Kirchhoff law states that the sum of potential in a loop is always conserved. In first resistor we noticed a drop of 7 volt it means that the remaining voltage must drop across the second resistor.
Therefore, the drop in the voltage using conservation of potential in a loop we get the value of potential drop to be equal to 8 Volt .
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Note: The question is incomplete in the portal. Here is the complete question.
Question: Two resistors with resistance R₁ equal to 10002 and R₂ equal to 22002 respectively are connected in series circuit, such that the potential drop through the first resistor of resistance 10002 is of 7V find the voltage drop in second resistor using divider rule.
A navigation buoy floating on the sea oscillates up and down as a wave passes.
In exactly two minutes, six complete wavelengths pass the buoy.
What is the frequency of the waves?
A 0.050 Hz
B 0.33 Hz
C 3.0 Hz
D 20 Hz
STUDENTS
Frequency of the waves is 0.05 Hz
Number of complete wavelength, λ = 6
therefore distance covered = 6 Wavelength
Time taken to complete 6 wavelengths, t = 2 min
Since 1 min = 60 sec
2 min = 2 * 60 = 120 sec
Frequency can be defined as the number of wave cycles completed per second by a wave.
It is the ratio of velocity to the wavelength.It is denoted by FThe unit used for the frequency is hertz, Hz.Mathematically, F = [tex]\frac{Velocity}{Wavelength}[/tex]As we know, Velocity = [tex]\frac{Distance}{Time}[/tex] = [tex]\frac{6 Wavelength}{120}[/tex]
F = [tex]\frac{Velocity}{Wavelength}[/tex]
F = [tex]\frac{6 wavelength}{120 wavelength}[/tex]
F = [tex]\frac{6}{120}[/tex]
F = 0.05 Hz
Therefore frequency of the navigation buoy floating on the sea oscillates as a wave is 0.05 Hz.
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Luis is riding the Giant Drop at Great America. If Luis free falls for 3.0
seconds, what will be his final velocity?
Your answer
How far will Luis have fallen from?
The final velocity of Luis is 29.4 m/s
It is given that
Acceleration a = 9.8m/s^2, time t = 3.0 second
initial velocity = 0 m/s
Free fall is characterised as a scenario where an object is only affected by gravity. The ball experiences an external force, which quickens its motion. Gravitational acceleration is another name for this rate of free fall acceleration. A downward motion without any beginning force or speed is called a free fall.
The primary indicator of an object's position and speed is its velocity. It is the distance that an object travels in one unit of time. The displacement of the item in one unit of time can be used to define velocity.
using v = u + at
v = 0 + 9.8 x 3
v = 29.4 m/s
Hence, final velocity of Luis is 29.4 m/s
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Need help answering questions
[tex] { \sqrt[ \frac{ { \infty \binom{ log_{ \tan( \gamma \beta log( \alpha \sin( \csc(\%) ) ) ) }(?) }{?} }^{?} }{?} \times \frac{?}{?} ]{?} }^{2} [/tex]
A runner accelerated from rest for 12 s, at which time the runner has traveled 100 m. what were the runners average and final velocities
If a runner accelerated from rest for 12 s, at which time the runner has traveled 100 m, then the runner's average and final velocities would be 8.33 m /s and 16.66 m/s.
What are the three equations of motion?There are three equations of motion given by Newton
v = u + at
S = ut + 1/2×a×t²
v² - u² = 2×a×s
By using the second equation of motion given by newton,
S = ut + 1/2at²
100 = 0 + 0.5*a*12*12
a = 100 / 72
a = 1.388 meters / second²
The final velocity of the runner = 12*1.388
=16.66 m/s
The average velocity = 16.66 /2
=8.33 m /s
Thus, the average velocity of the runner would be 8.33 m /s and the final velocity of the runner would be 16.66 m/s
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A rollercoaster has an initial hill that is 25 meters high and a second hill that is 15 meters high. If a car starts at rest at the top of the first hill and rolls to the top of the second hill without losing any energy how fast will it be moving at the top of the second hill?
If a roller coaster loop were perfectly circular, the peak speed would be equal to vmin=gR, where g=9.8m/s2 and R is the radius of the "circle."
What type of power propels a roller coaster to the summit of a hill?Because friction and drag start depriving the car of energy right away, the first hill of a roller coaster is always the steepest part of the ride. A car's energy is virtually completely gravitational potential energy at the summit of the first slope (because its velocity is zero or almost zero).
The transformation of potential energy into kinetic energy drives the motion of a roller coaster. The potential energy of the roller coaster vehicles increases as they are propelled to the summit of the first hill. Potential energy is transformed into kinetic energy as the vehicles fall.
The potential energy will be 0 at the base of the hill.
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What types of memories are stored in the collective unconscious?
The types of memories that are stored in the collective unconscious include instinctive patterns and archetypes from ancestral heritage.
What is the collective unconscious?The collective unconscious can be defined as the part of the human mind that contains distinct types of memories and also instinctive impulses in humans which may shape some of our behaviors regarding specific situations and also environmental contexts (e.g., during danger situations).
In conclusion, the types of memories that are stored in the collective unconscious include instinctive patterns and archetypes from ancestral heritage.
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