Exam 2: Motion in One Dimension

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)?

The position of an object at equal time intervals is shown below: Which graph below correctly represents position versus time for this object?

A ball thrown vertically from ground level is caught 3.0 s later when it is at its highest point by a person on a balcony that is 14 m above the ground. Determine the initial speed of the ball.

A 50-gram superball travelling at 25.0 m/s is bounced off a brick wall and rebounds at 22.0 m/s. A high-speed camera records this event. If the ball is in contact with the wall for 3.50 ms, what is the average acceleration of the ball during this time interval?

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,

The velocity at the midway point of a ball able to reach a height y when thrown with velocity vi at the origin is:

Starting from rest, a car travels 1350 metres in 1.00 minute. It accelerated at 1.0 m/s2 until it reached its cruising speed. Then it drove the remaining distance at constant velocity. What was its cruising speed?

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?

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:

A wedge-tailed eagle dives at a myna. The eagle starts with zero downward velocity and falls with the acceleration of gravity. If the myna is 76.0 m below the initial height of the eagle, how long does it take the eagle to intercept the myna?

Holden claims that its latest Commodore sedan will, starting from rest, travel 0.40 km in 9.0 s. What is the magnitude of the constant acceleration required to do this?

The speed of an object is given by $v=5.00 t^{2}+4.00 t$ where v is in m/s and t is in s. What is the acceleration of the object at t = 2.00 s?

To help Kim practice for the Paralympics, 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 tKim for Kim's total time.

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?

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. At this moment in time, which statement is correct about the distances run and the displacements from the origin?

Five motion diagrams in which points represent the positions of an object at equal time intervals are shown below. Which statement is correct?

Driver A is cruising along enjoying the autumn colours. Driver B starts her car at the instant he passes her. Their velocities are shown as functions of time in the graph below. At what instants in time on the graph are drivers A and B side by side?

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?

The area under a graph of ax vs t from t = ti to t = tf represents:

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: