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# Numericals on Freely falling bodies

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1. if a body travels half of the total path in the last second of it’s fall from rest, then find: (a) time of fall (b) height of fall

2. the velocity of a particle in the positive direction of x-axis varies as v=p√x, where p is a positive constant. assuming that at moment t=0, the particle was at x=0, find:
(a) time dependence of velocity and acceleration of particle
(b)mean velocity of particle averaged over the time that the particle takes to cover first s meters of the path.

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