PhysicsLAB AP Free Response Question
2000 B1

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A 0.50 kg cart moves on a straight horizontal track. The graph of velocity v versus time t for the cart is given below.
 (a) Indicate every time t for which the cart is at rest.

 (b) Indicate every time interval for which the speed (magnitude of velocity) of the cart is increasing.

 (c) Determine the horizontal position x of the cart at t = 9.0 seconds if the cart is located at x = 2.0 meters at t = 0 seconds.

(d) On the axes below, sketch the acceleration a versus time t graph for the motion of the cart from t = 0 to t = 25 seconds.

From t = 25 seconds until the cart reaches the end of the track, the cart continues with constant horizontal velocity. The cart leaves the end of the track and hits the floor, which is 0.40 m below the track. You may use g = 10 m/sec2.
(e) Neglecting air resistance, determine each of the following:
 i. The time from when the cart leaves the track until it first hits the floor.

 ii. The horizontal distance from the end of the track to the point at which the cart first hits the floor.

 iii. The kinetic energy of the cart immediately before it hits the floor.

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