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A constant power 'P' is applied to a par...

A constant power 'P' is applied to a particle of mass 'm'. The displacement of the particle when its velocity increases from `v_(1) " to " v_(2)` is (ignore friction)

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Power P= F.v (ma) v `a= (P)/(mv) rArr v.(dv)/(ds)= (P)/(mv)`
`v^(2).dv= (P)/(m)ds " " (P)/(m) underset(0)overset(s)int ds= underset(v_(1))overset(v_(2))int v^(2)dv`
`(P)/(m).s = (1)/(3) (v_(2)^(3)-v_(1)^(3)) therefore`
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