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Exam 2: Motion in One Dimension

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Question 71

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Two identical objects A and B fall from rest from different heights to the ground. If object B takes twice as long as object A to reach the ground, what is the ratio of the heights from which A and B fell? Neglect air resistance.

A) h_A/h_B = 1/ $\sqrt { 2 }$
B) h_A/h_B = 1/2
C) h_A/h_B = 1/4
D) h_A/h_B = 1/8

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Question 72

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At the same moment, one rock is dropped and one is thrown downward with an initial velocity of $29 \mathrm {~m} / \mathrm { s }$ from the top of a building that is $300 \mathrm {~m}$ tall. How much earlier does the thrown rock strike the ground? Neglect air resistance.

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Question 73

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An auto accelerates forward from 7.0 m/s at a uniform 0.71 m/s². It travels a distance of 1.033 km while accelerating. (a) How fast is the auto moving just as it is traveled the 1.033 km? (b) How many seconds did it take to travel the 1.033 km?

A runner runs around a track consisting of two parallel lines 96 m long connected at the ends by two semicircles with a radius of 49 m. She completes one lap in 100 seconds. What is her average velocity?

The graph in the figure shows the position of a particle as a function of time as it travels along the x-axis. (a) What is the magnitude of the average velocity of the particle between t = 1.0 s and t = 4.0 s? (b) What is the average speed of the particle between t = 1.0 s and t = 4.0 s?

A motorist makes a trip of 180 miles. For the first 90 miles she drives at a constant speed of 30 mph. At what constant speed must she drive the remaining distance if her average speed for the total trip is to be 40 mph?

The graph in the figure shows the velocity of a particle as it travels along the x-axis. (a) In what direction (+x or -x) is the acceleration at t = 0.5 s? (b) In what direction (+x or -x) is the acceleration at t = 3.0 s? (c) What is the average acceleration of the particle between t = 2.0 s and t = 4.0 s? (d) At what value of t is the instantaneous acceleration equal to 0 m/s²?

A toy rocket is launched vertically from ground level at time t = 0.00 s. The rocket engine provides constant upward acceleration during the burn phase. At the instant of engine burnout, the rocket has risen to 64 m and acquired an upward velocity of $60 \mathrm{~m} / \mathrm{s}$ The rocket continues to rise with insignificant air resistance in unpowered flight, reaches maximum height, and falls back to the ground. The time interval during which the rocket engine provided the upward acceleration, is closest to

A car initially traveling at 60 km/h accelerates at a constant rate of 2.0 m/s². How much time is required for the car to reach a speed of 90 km/h?

A stone is thrown with an initial upward velocity of 7.0 m/s and experiences negligible air resistance. If we take upward as the positive direction, what is the velocity of the stone after 0.50 s?

If the velocity of an object is zero at one instant, what is true about the acceleration of that object? (There could be more than one correct choice.)

An instrument is thrown upward with a speed of 15 m/s on the surface of planet X where the acceleration due to gravity is 2.5 m/s² and there is no atmosphere. How long does it take for the instrument to return to where it was thrown?

A car increases its forward velocity uniformly from 40 m/s to 80 m/s while traveling a distance of 200 m. What is its acceleration during this time?

A car travels at 15 m/s for 10 s. It then speeds up with a constant acceleration of 2.0 m/s² for 15 s. At the end of this time, what is its velocity?

Ball A is dropped from the top of a building. One second later, ball B is dropped from the same building. Neglect air resistance. As time progresses, the difference in their speeds

A toy rocket is launched vertically from ground level at time t = 0 s. The rocket engine provides constant upward acceleration during the burn phase. At the instant of engine burnout, the rocket has risen to 49.0 m and acquired an upward velocity of $60.0 \mathrm {~m} / \mathrm { s }$ The rocket continues to rise with insignificant air resistance in unpowered flight, reaches maximum height, and falls back to the ground. The maximum height reached by the rocket is closest to

A bullet shot straight up returns to its starting point in 10 s. What is the initial speed of the bullet, assuming negligible air resistance?

An airplane needs to reach a forward velocity of $203.0 \mathrm {~km} / \mathrm { h }$ to take off. On a $2000 - \mathrm { m }$ runway, what is the minimum uniform acceleration necessary for the plane to take flight if it starts from rest?

Two cars are traveling at the same speed and hit the brakes at the same time. Car A decelerates (decreases its velocity) at twice the rate of car B. If car A travels a distance D before stopping, how far does car B travel before stopping?

A car is traveling north at $17.7 \mathrm {~m} / \mathrm { s }$ After 12 s its velocity is $14.1 \mathrm {~m} / \mathrm { s }$ in the same direction. Find the magnitude and direction of the car's average acceleration.