Physics 211 practice test 2

The position of a particle moving along the x axis is given by x = (21 + 22t – 6.0t²)m, where t is in s. What is the average velocity during the time interval t = 1.0 s to t = 3.0 s?

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An automobile traveling along a straight road increases its speed from 30.0 m/s to 50.0 m/s in a distance of 180 m. If the acceleration is constant, how much time elapses while the auto moves this distance?

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A bullet is fired through a board, 14.0 cm thick, with its line of motion perpendicular to the face of the board. If it enters with a speed of 450 m/s and emerges with a speed of 220 m/s, what is the bullet’s acceleration as it passes through the board?

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A swimmer swims 20 laps in a north-south facing pool in 7.00 minutes. Her first lap is toward the north. Her displacement and average velocity are

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A rocket, initially at rest, is fired vertically with an upward acceleration of 10 m/s². At an altitude of 0.50 km, the engine of the rocket cuts off. What is the maximum altitude it achieves?

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The position of a particle as it moves along the x axis is given for t > 0 by x = (t³ – 3t² + 6t) m, where t is in s. Where is the particle when it achieves its minimum speed (after t = 0)?

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In 20 minutes, Kara ran 2.40 km on a treadmill facing due east. Relative to the treadmill, what were her displacement and average velocity during this time interval?

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In 20 minutes, Kara ran 2.40 km on a treadmill facing due east. Relative to the gym, what were her displacement and average velocity during this time interval?

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In 2.0 s, a particle moving with constant acceleration along the x axis goes from x = 10 m to x = 50 m. The velocity at the end of this time interval is 10 m/s. What is the acceleration of the particle?

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A rock is thrown downward from an unknown height above the ground with an initial speed of 10 m/s. It strikes the ground 3.0 s later. Determine the initial height of the rock above the ground.

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The velocity of a particle moving along the x axis is given for t > 0 by v_x = (32.0t – 2.00t³) m/s, where t is in s. What is the acceleration of the particle when (after t = 0) it achieves its maximum displacement in the positive x direction?

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An object moving on the x axis with a constant acceleration increases its x coordinate by 80 m in a time of 5.0 s and has a velocity of +20 m/s at the end of this time. Determine the acceleration of the object during this motion.

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A particle starts from rest at x_i = 0 and moves for 10 s with an acceleration of +2.0 cm/s². For the next 20 s, the acceleration of the particle is -1.0 cm/s². What is the position of the particle at the end of this motion?

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An automobile manufacturer claims that its product will, starting from rest, travel 0.40 km in 9.0 s. What is the magnitude of the constant acceleration required to do this?

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A proton moving along the x axis has an initial velocity of 4.0 ´ 10⁶ m/s and a constant acceleration of 6.0 ´ 10¹² m/s². What is the velocity of the proton after it has traveled a distance of 80 cm?

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The position of a particle moving along the x axis is given by x = 6.0t² – 1.0t³, where x is in meters and t in seconds. What is the position of the particle when it achieves its maximum speed in the positive x direction?

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The area under a graph of v_x vs t from t = t_i to t = t_f represents

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Two children start at one end of a street, the origin, run to the other end, then head back. On the way back Joan is ahead of Mike. Which statement is correct about the distances run and the displacements from the origin?

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A car travels north at 30 m/s for one half hour. It then travels south at 40 m/s for 15 minutes. The total distance the car has traveled and its displacement are:

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The area under a graph of a_x vs t from t = t_i to t = t_f represents

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To help Kim practice for the Special Olympics, Sally runs beside him for half the required distance. She runs the remaining distance at her regular speed and arrives 90 seconds ahead of Kim. What is the ratio of Sally’s regular speed to Kim’s speed? Use t_Kim for Kim’s total time.

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Two identical balls are at rest and side by side at the top of a hill. You let one ball, A, start rolling down the hill. A little later you start the second ball, B, down the hill by giving it a shove. The second ball rolls down the hill along a line parallel to the path of the first ball and passes it. At the instant ball B passes ball A:

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When starting from rest at the bottom of a straight road with constant upward slope, Joan bicycles to the top 50.0 s ahead of Sally, whose travel time is 5.00 minutes. What is the ratio of Joan’s acceleration to Sally’s acceleration?

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A stone is thrown from the top of a building with an initial velocity of 20 m/s downward. The top of the building is 60 m above the ground. How much time elapses between the instant of release and the instant of impact with the ground?

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A particle moving with a constant acceleration has a velocity of 20 cm/s when its position is x = 10 cm. Its position 7.0 s later is x = -30 cm. What is the acceleration of the particle?

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A boy on a skate board skates off a horizontal bench at a velocity of 10 m/s. One tenth of a second after he leaves the bench, to two significant figures, the magnitudes of his velocity and acceleration are:

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Two identical balls are at rest side by side at the bottom of a hill. Some time after ball A is kicked up the hill, ball B is given a kick up the hill. Ball A is headed downhill when it passes ball B headed up the hill. At the instant when ball A passes ball B,

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An automobile moving along a straight track changes its velocity from 40 m/s to 80 m/s in a distance of 200 m. What is the (constant) acceleration of the vehicle during this time?

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A juggler throws two balls to the same height so that one is at the halfway point going up when the other is at the halfway point coming down. At that point:

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An electron, starting from rest and moving with a constant acceleration, travels 2.0 cm in 5.0 ms. What is the magnitude of this acceleration?

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The position of a particle as it moves along the x axis is given by x = 15e^-2t m, where t is in s. What is the acceleration of the particle at t = 1 s?

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An object is thrown vertically upward such that it has a speed of 25 m/s when it reaches two thirds of its maximum height above the launch point. Determine this maximum height.

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When Jim and Rob ride bicycles, Jim can only accelerate at three quarters the acceleration of Rob. Both start from rest at the bottom of a long straight road with constant upward slope. If Rob takes 5.0 minutes to reach the top, how much earlier should Jim start to reach the top at the same time as Rob?

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A toy rocket, launched from the ground, rises vertically with an acceleration of 20 m/s² for 6.0 s until its motor stops. Disregarding any air resistance, what maximum height above the ground will the rocket achieve?

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A ball is thrown vertically upward with an initial speed of 20 m/s. Two seconds later, a stone is thrown vertically (from the same initial height as the ball) with an initial speed of 24 m/s. At what height above the release point will the ball and stone pass each other?

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A skier leaves a ski jump with a horizontal velocity of 29.4 m/s. The instant before she lands three seconds later, the magnitudes of the horizontal and vertical components of her velocity are:

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A particle confined to motion along the x axis moves with constant acceleration from x = 2.0 m to x = 8.0 m during a 2.5-s time interval. The velocity of the particle at x = 8.0 m is 2.8 m/s. What is the acceleration during this time interval?

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A particle moving along the x axis has a position given by x = (24t – 2.0t³) m, where t is measured in s. What is the magnitude of the acceleration of the particle at the instant when its velocity is zero?

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The position of a particle moving along the y-axis has a position given by .

Is there any time interval during which the particle is not moving?

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A particle moving along the x-axis has a position given by x = 54t – 2.0t³ m. At the time t = 3.0 s, the speed of the particle is zero. Which statement is correct?

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A ball thrown vertically from ground level is caught 3.0 s later by a person on a balcony which is 14 m above the ground. Determine the initial speed of the ball.

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An object is thrown downward with an initial (t = 0) speed of 10 m/s from a height of 60 m above the ground. At the same instant (t = 0), a second object is propelled vertically upward from ground level with a speed of 40 m/s. At what height above the ground will the two objects pass each other?

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An object is thrown vertically and has an upward velocity of 18 m/s when it reaches one fourth of its maximum height above its launch point. What is the initial (launch) speed of the object?

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