1.

A particle is moving along a striaght line so that t its displacement s from a fixed point on the line is given s=a sin (bt+c) where a,b,c are cosntants. If v and f are the velocity and the acceleration of the particle respectively at time t, prove that (i)v^(2)-fsis a constant (ii) (df)/(ds) is a constant and (ii) s, (df)/(ds)=f.

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ANSWER :`-B^(2)s `


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