Propelling a car

Classical Mechanics Level 5

For some odd reason, you decide to throw baseballs at a car of mass \(M\), which is free to move frictionlessly on the ground. You throw the balls at the back of the car at speed \(u\) such that the total mass of the car and its contents increases by \(n\) kg/s (assume the rate is continuous, for simplicity).

If the car starts at rest, find its position at \(t = 10\) sec assuming that the back window is open, so that the balls collect inside the car.

Details and Assumptions

  • \(n=1\)
  • \(M=30 \text{ kg} \)
  • \( u=5 \text{ ms} ^{ -1 }\)

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