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Show that the displacement in time t is ...

Show that the displacement in time t is proportional to `t^((3)/(2))` under the influence of a constant power.

Text Solution

Verified by Experts

`P=Fv=mav=(mv^(2))/(t)=(m)/(t)(2as)`
i.e. `s=(Pt)/(2ma)=(pt^(3))/(4ms)`
hence `s^(2)=(pt^(3))/(4m)ors=(1)/(2)sqrt((P)/(m)).t^((3)/(2))" i.e. "spropt^((3)/(2))`.
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