A body is projected up along the rough inclined plane from the bottom with some velocity. It travels up the incline and then returns back. If the time of ascent is $t_{a}$ and time of descent is $t_{d}$ , then

t_{a} = t_{d}

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t_{a} > t_{d}

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t_{a} < t_{d}

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Data in-sufficient

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Solution

The correct option is C $t_{a} < t_{d}$
Answer is C.
Let the velocity of projection be V and the velocity of the block when it returns back = V'. Then V > V' since some kinetic energy is lost to friction.
Hence, the average velocity during ascent is greater than the average velocity during descent. If the velocity is greater the time taken becomes lesser.
Therefore, ta < td.

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