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The local church is hosting a carnival which includes a bumper car ride. Bumper car A and its driver have a mass of 300 kg;

The local church is hosting a carnival which includes a bumper car ride. Bumper car A and its driver have a mass of 300 kg; bumper car B and its driver have a mass of 200 kg. Bumper car A has a velocity to the right of 2 m/s and bumper car B is at rest. At t = 0 s, bumper car A and B are separated by 10 m. Bumper car A accelerates at 1 m/s2 to a velocity of 4 m/s and continues at this constant speed until colliding with bumper car B.

  1. Calculate the time required for bumper car A to travel the 10 m to collide with bumper car B.
  2. Calculate the speed of bumper car A following the collision with bumper car B, which now has a velocity to the right of 3 m/s.
  3. Is the direction of motion for bumper car A following the collision with bumper car B to the right, to the left, or is bumper car A at rest?
  4. Is the collision elastic? Justify your answer.

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