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A car can pull a trailer of twice its ma...

A car can pull a trailer of twice its mass up a certain slope at a maximum speed V. Without the trailer the maximum speed of the car, up the same slope is 2 V. The resistance to the motion is proportional to mass and square of speed. If the car (without trailer) starts to move down the same slope, with its engine shut off, prove that eventually it will acquire a constant speed. Find this speed.

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The correct Answer is:
`u=sqrt(5)V`
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