A particle is projected with a velocity u making an angle θ with the horizontal. The instantaneous power of the gravitational force

Question

A particle is projected with a velocity u making an angle θ with the horizontal. The instantaneous power of the gravitational force, Varies linearly with time., Is constant throughout, Is negative for complete path, None of these

MARKS App · Accepted Answer

At any time, v → = u cos θ i ^ + u sin θ - gt j ^ P = F → . v → = – mg j ^ . u cos θ i ^ + u sin θ - gt j ^ = mg 2 t - mgu sin θ Hence, power varies linearly with time.

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