A car accelerates from 5.0 m/s to 21 m/s at a rate of 3.0 m/s^{2}. How far does it travel while accelerating?

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Vectors, Scalars, & Displacement | 14 mins | 0 completed | Learn |

Average Velocity | 33 mins | 0 completed | Learn |

Intro to Acceleration | 8 mins | 0 completed | Learn |

Position-Time Graphs & Velocity | 26 mins | 0 completed | Learn |

Conceptual Problems with Position-Time Graphs | 22 mins | 0 completed | Learn |

Velocity-Time Graphs & Acceleration | 6 mins | 0 completed | Learn |

Calculating Displacement from Velocity-Time Graphs | 15 mins | 0 completed | Learn |

Conceptual Problems with Velocity-Time Graphs | 11 mins | 0 completed | Learn |

Calculating Change in Velocity from Acceleration-Time Graphs | 11 mins | 0 completed | Learn |

Graphing Position, Velocity, and Acceleration Graphs | 11 mins | 0 completed | Learn |

Kinematics Equations | 53 mins | 0 completed | Learn |

Vertical Motion and Free Fall | 20 mins | 0 completed | Learn |

Catch/Overtake Problems | 23 mins | 0 completed | Learn |

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Motion Diagrams |

Proportional Reasoning |

A car accelerates from 5.0 m/s to 21 m/s at a rate of 3.0 m/s^{2}. How far does it travel while accelerating?

Practice: A moving hockey puck encounters a patch of rough ice and slides 90cm before coming to a full stop. Assuming a constant deceleration of 8 m/s^{2}, what was the puck’s initial speed?

Certain rifles can fire a bullet with a speed of 970 m/s just as it leaves the muzzle (this speed is called the muzzle velocity). The muzzle is 71.0 cm long and the bullet is accelerated uniformly from rest within it.

For how long (in ms) is the bullet in the muzzle?

Practice: A shuffleboard disk is accelerated at a constant rate from rest to 6.0 m/s over a 1.8 m distance by a player

using a cue. At this point the disk loses contact with the cue and slows at a constant rate of 2.5 m/s^{2} until it stops. **(a)** How much time elapses from when the disk begins to accelerate until it stops? **(b)** What total distance does the disk travel?

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During takeoff, an airplane has an acceleration of 7.75 m/s2. What is its speed after 9 s?
A) 8 m/s
B) 0.9 m/s
C) 628 m/s
D) 314 m/s
E) 70 m/s

During takeoff, an airplane has an acceleration of 7.75 m/s2. How far has it traveled after 9 s?
A) 3.9 m
B) 35 m
C) 628 m
D) 314 m
E) 70 m

Usain Bolt can run the 100 m dash in 9.58s. Assuming his acceleration is constant during the sprint, what speed would Usain cross the finish line at?

A car driving at a speed of 20 m/s sees a dog in the road. If the dog is 100 m in front of the car, what is the minimum deceleration of the car so the driver doesn’t hit the dog?

A car beginning at rest accelerates at 5 m/s2 for 2s, coasts at a constant speed for 4 s, and then decelerates to a stop in 4s. How far did the car travel during these 10s?

A runner moving with an initial velocity of 9.0 m/s slows down at a constant rate of -1.3 m/s2 over a period of 2.4 seconds. What distance does she travel during this process?
A) 21.60 m
B) 25.34 m
C) 3.74 m
D) 17.86 m
E) 14.11 m

A car accelerates from 5.0 m/s to 21 m/s at a rate of 3.0 m/s 2. How far does it travel while accelerating?
A) 117 m
B) 207 m
C) 69 m
D) 41 m

A stone is dropped into a river from a bridge 43.9m above the water. Another stone is thrown vertically down 1.00s after the first is dropped. The stones strike the water at the same time.What is the initial speed of the second stone?

A runner moving with an initial velocity of 8.7 m/s slows down at a constant rate of -1.4 m/s2 over a period of 2.0 seconds. What is her velocity at the end of this time?A) 0.70 m/sB) 11.50 m/sC) 2.80 m/sD) 5.90 m/sE) -2.80 m/s

A bullet traveling along the x axis at a velocity v x = vb strikes a telephone pole and penetrates a distance d before stopping. Assuming that the acceleration was constant, the time required to stop the bullet is.
A. d / vb
B. 2d / vb
C. d / 2vb
D. √2d / g
E. vb / d

A car starts from rest at a red light at t = 0 and accelerates at 2 m/s 2 for 10 s, then travels at constant speed for 10 s, accelerates (decelerates) at -1 m/s2 until it reaches zero velocity and stops.
[a] Plot the velocity of the car versus time from t = 0 s until it stops.
[b] Find the average acceleration between t = 0 and t = 20 s.
[c] Find the displacement of the car from start to stop.
[d] Find the average velocity of the car for the entire trip from start to stop.

A certain automobile manufacturer claims that its deluxe sports car will accelerate from rest to a speed of 42.0 m/s in 8.00 s.(a) Determine the average acceleration of the car.(b) Assume that the car moves with constant acceleration. Find the distance the car travels in the first 8.00 s.(c) What is the speed of the car 10.0 s after it begins its motion if it can continue to move with the same acceleration?

If an object moves in a straight line in the negative direction with decreasing speed, its acceleration will beA) zeroB) constantC) negativeD) positive

Consider a car which is traveling along a straight road with constant acceleration a. There are two checkpoints A and B which are a distance 108 m apart. The time it takes for the car to travel from A to B is 4.43 s. Find the velocity vB for the case where the acceleration is 7.95 m/s2.

A speedboat moving at 30.0 m/s approaches a no-wake buoy marker 100 m ahead. The pilot slows the boat with a constant acceleration of -3.50 m/s2 by reducing the throttle.(a) How long does it take the boat to reach the buoy?(b) What is the velocity of the boat when it reaches the buoy?

A sprinter, starting from rest, accelerates off the starting line at 3 m/s2 for 3 s, runs at a constant speed until crossing the finish line 100 m from the starting line, and then slows to a stop over the next 20 m. a) How long does it take for the sprinter to cross the finish line?b) At what speed does the sprinter cross the line with?c) What is the sprinters deceleration during the 20 m after the finish line?

An object moves with constant acceleration 4.00 m/s 2 and over a time interval reaches a final velocity of 12.0 m/s.(a) If its initial velocity is 6.00 m/s, what is its displacement during the time interval?(b) What is the distance it travels during this interval?(c) If its initial velocity is -6.00 m/s, what is its displacement during the time interval?(d) What is the total distance it travels during the interval in part (c)?

A person who is properly restrained by an over-the-shoulder seat belt has a good chance of surviving a car collision if the deceleration does not exceed 30 "gs" (1.00 g = 9.80m/s2 ). Assuming uniform deceleration of this value, calculate the distance over which the front end of the car must be designed to collapse if a crash brings the car to rest from 120 km/h .

You’re driving down the highway late one night at 20 m/s when a deer steps onto the road 35 m in front of you. Your reaction time before stepping on the brakes is 0.50 s, and the maximum deceleration of your car is 10 m/s2.(a) How much distance is between you and the deer when you come to a stop?(b) What is the maximum speed you could have and still not hit the deer?

When jumping, a flea rapidly extends its legs, reaching a takeoff speed of 1.0 m/s over a distance of 0.50mm. What is the flea's acceleration as it extends its legs? How long does it take the flea to leave the ground after it begins pushing off?

6. A car accelerates at 2 meters per second per second. Assuming the car starts from rest, how much time does it need to accelerate to a speed of 30 m/s? A) 15 seconds B) 60 seconds C) 2 seconds D) 30 seconds E) none of these

A. What constant acceleration, in SI units, must a car have to go from zero to 60 mph in 10 s?B. What fraction of g is this?C. How far has the car traveled when it reaches 60 mph? Give your answer both in SI units and in feet.

A driver has a reaction time of 0.50 s, and the maximum deceleration of her car is 6.0 m/s2. She is driving at 20 m/s when suddenly she sees an obstacle in the road 50 m in front of her. What is the distance she passes after noticing the obstacle before fully stopping?

A baseball pitcher throws a baseball with a speed of 43 m/s. Estimate the average acceleration of the ball during the throwing motion. In throwing the baseball, the pitcher accelerates it through a displacement of about 3.5m , from behind the body to the point where it is released (Fig. 2-37).

A car accelerates from 13 m/s to 23 m/s in 6.5 s.(a) What was its acceleration? Assume constant acceleration.(b) How far did it travel in this time? Assume constant acceleration.

The speed of a bullet is measured to be 640m/s as the bullet emerges from a barrel of length 1.20m. Assuming constant acceleration, find the time that the bullet spends in the barrel after it is fired.

The head of a rattlesnake can accelerate at 50m/s2 in striking a victim. If a car could do as well, how long would it take to reach a speed of 100km/h from rest?

A jumbo jet must reach a speed of 360km/h on the runway for takeoff. What is the lowest constant acceleration needed for takeoff from a 1.80km runway?

A car slows down uniformly from a speed of 18.0 m/s to rest in 5.50 s. How far did it travel in that time?

A car traveling 56.0 km/h is 24.0 m from a barrier when the driver slams on the brakes. The car hits the barrier 2.00 s later.(a) What is the magnitude of the car’s constant acceleration before impact?(b) How fast is the car traveling at impact?

A motorcycle is moving at 30 m/s when the rider applies the brakes, giving the motorcycle a constant deceleration. During the 3.0 s interval immediately after braking begins, the speed decreases to 15 m/s. What distance does the motorcycle travel from the instant braking begins until the motorcycle stops?

A certain jet comes in for a landing on solid ground with a speed of 100 m/s and its acceleration can have a maximum magnitude of 5.00 m/s2 as it comes to rest. (a) From the instant the jet touches the runway, what is the minimum time interval needed before it can come to rest?(b) Can this jet land at a small tropical island airport where the runway is 0.800 km long?

On a dry road, a car with good tires may be able to brake with a constant deceleration of 4.92 m/s. (a) How long does such a car, initially traveling at 24.6 m/s, take to stop?(b) How far does it travel in this time? (c) Graph x versus t and v versus t for the deceleration.

In this problem, you will apply kinematic equations to a jumping flea. Take the magnitude of free-fall acceleration to be 9.80m/s2 . Ignore air resistance.A flea jumps straight up to a maximum height of 0.360 m. a. What is its initial velocity v0 as it leaves the ground?b. How long is the flea in the air from the time it jumps to the time it hits the ground?Express your answer in seconds to three significant figures.

(a) A daredevil is attempting to jump his motorcycle over a line of buses parked end to end by driving up a 32° ramp at a speed of 40.0 m/s (144 km/h). How many buses can he clear if the top of the takeoff ramp is at the same height as the bus tops and the buses are 20.0 m long? (b) Discuss what your answer implies about the margin of error in this act – that is, consider how much greater the range is than the horizontal distance he must travel to miss the end of the last bus. (Neglect air resistance)

To take off from the ground, an airplane must reach a sufficiently high speed. The velocity required for the takeoff, the takeoff velocity, depends on several factors, including the weight of the aircraft and the wind velocity.Part AA plane accelerates from rest at a constant rate of 5.00 m/s2 along a runway that is 1800 m long. Assume that the plane reaches the required takeoff velocity at the end of the runway. What is the time tTO needed to take off? Express your answer in seconds using three significant figures. If you need to use the answer from this part in subsequent parts, use the unrounded value you calculated before you rounded the answer to three significant figures. Recall that you should only round as a final step before submitting your answer.Part BWhat is the speed vTO of the plane as it takes off? Express your answer numerically in meters per second using three significant figures.If you need to use the answer from this part in subsequent parts, use the unrounded value you calculated before you rounded the answer to three significant figures. Recall that you should only round as a final step before submitting your answer.Part CWhat is the distance dfirst traveled by the plane in the first second of its run? Express your answer numerically in meters using three significant figures.If you need to use the answer from this part in subsequent parts, use the unrounded value you calculated before you rounded the answer to three significant figures. Recall that you should only round as a final step before submitting your answer.Part DWhat is the distance dlast traveled by the plane in the last second before taking off? Express your answer numerically in meters using three significant figures.If you need to use the answer from this part in subsequent parts, use the unrounded value you calculated before you rounded the answer to three significant figures. Recall that you should only round as a final step before submitting your answer.Part EWhat percentage of the takeoff velocity did the plane gain when it reached the midpoint of the runway? Express your answer numerically to the nearest percent.

Frieght trains can produce only relatively small accelerations and decelerations. (a) What is the final velocity of a freight train that accelerates at a rate of 0.0500 m/s2 for 8.00 min, starting with an initial velocity of 4.00 m/s? (b) If the train can slow down at a rate of 0.550 m/s2, how long will it take to come to stop from this velocity? (c) How far will it travel in each case?

An inattentive driver is traveling 18.0 m/s when he notices a red light ahead. His car is capable of decelerating at a rate of 3.61 m/s2 .If it takes him 0.210 s to get the brakes on and he is 67.0 m from the intersection when he sees the light, will he be able to stop in time?

In a typical greyhound race, a dog accelerates to a speed of 20m/s over a distance of 30m. It then maintains this speed. What would be a greyhound's time in the 100m dash? Assume constant acceleration for the first period.

a. What equation gives the position at a specific time for an object with constant acceleration?b. The position versus time graph of a body undergoing constant acceleration is a _____c. What equation gives the velocity at a specific time for an object with constant acceleration?d. The equation of the velocity versus time of a body undergoing constant acceleration is a ____

You're driving down the highway late one night at 20 m/s when a deer steps onto the road 35 m in front of you. Your reaction time before stepping on the brakes is 0.50 s and the maximum deceleration of your car is 10 m/s2.How much distance is between you and the deer when you come to a stop?

When striking, the pike, a predatory fish, can accelerate from rest to a speed of 3.9m/s in 0.12s.a) What is the acceleration of the pike during this strike?Express your answer using two significant figures.b) How far does the pike move during this strike?Express your answer using two significant figures.

A car is traveling at a constant velocity of magnitude V0 when the driver notices a garbage can on the road in front of him. At that moment, the distance between the garbage can and the front of the car is d. At time t after noticing the garbage can, the driver applies the brakes and slows down at a constant rate before coming to a halt just before the garbage can. What is the magnitude of the car's acceleration after the brakes are applied? FIND THE MAGNITUDE OF THE ACCELERATION OF THE CAR AFTER THE BRAKES ARE APPLIED. Express your answer in terms of some variables.

Chameleons catch insects with their tongues, which they can rapidly extend to great lengths. In a typical strike, the chameleon's tongue accelerates at a remarkable 280 m/s2 for 20 ms, then travels at constant speed for another 30 ms.During this total time of 50 ms, 1/20 of a second, how far does the tongue reach?Express your answer to two significant figures and include the appropriate units.

A car traveling at speed v takes distance d to stop after the brakes are applied. What is the stopping distance if the car is initially traveling at speed 2.0 v. Assume that the acceleration due to the braking is the same in both cases.

To take off from the ground, an airplane must reach a sufficiently high speed. The velocity required for the takeoff, the takeoff velocity, depends on several factors, including the weight of the aircraft and the wind velocity.Part A. A plane accelerates from rest at a constant rate of 5.00 m/s2 along a runway that is 1800 m long. Assume that the plane reaches the required takeoff velocity at the end of the runway. What is the time tTO needed to take off? Express your answer numerically in seconds using three significant figures.Part B. What is the speed tTO of the plane as it takes off?Part C. What is the distance dfirst traveled by the plane in the first second of its run? Express your answer numerically in meters using three significant figures.Part D. What is the distance dlast traveled by the plane in the last second before taking off? Express your answer numerically in meters using three significant figures.Part E. What percentage of the takeoff velocity did the plane gain when it reached the midpoint of the runway? Express your answer numerically to the nearest percent.

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