AP Free Response Question
2008 B1
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Several students are riding in bumper cars at an amusement park. The combined mass of car A and its occupants is 250 kg. The combined mass of car B and its occupants is 200 kg. Car A is 15 m away from car B and moving to the right at 2.0 m/s, as shown, when the driver decides to bump into car B, which is at rest.
(a) Car A accelerates at 1.5 m/s
^{2}
to a speed of 5.0 m/s and then continues at constant velocity until it strikes car B. Calculate the total time for car A to travel the 15 m.
(b) After the collision, car B moves to the right at a speed of 4.8 m/s.
i. Calculate the speed of car A after the collision.
ii. Indicate the direction of motion of car A after the collision.
___ to the left ___ to the right ___ none, car A is at rest
(c) Is this an elastic collision? Justify your answer.
Topic Formulas
Description
Published Formula
impulse
linear momentum
uniform acceleration - displacement and instantaneous velocity
uniform acceleration - instantaneous position
uniform acceleration - instantaneous velocity
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