# Propelling a car

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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