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Velocity-time curve for a body projected...

Velocity-time curve for a body projected vertically upwards is with times (s)

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The correct Answer is:
A
Given `(dv)/(dt)=v^(2)/rrArr(dv)/(ds)=v^(2)/r, -underset(v_(0))overset(v)(int)1/vdv=underset(o)overset(s)(int)(ds)/r`
`rArr ln[v_(0)/v]=S/rrArr v_(0)/v=e^(S//r)`
`rArr v_(0)=ve^(S//r)rArrv=v_(0)e^(-S//r)`
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ALLEN -MOTION IN A PALNE-EXERCISE-02
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