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## Homework Statement

The power supplied by a force acting on a particle moving in a straight line is constant.

(1)Find the variation of velocity with displacement s.

(2)Find the variation of displacement with time.

## Homework Equations

vdv/ds=a

## The Attempt at a Solution

(1)

I started off with power being constant so:

mav=c1(some const)

=> av=c2(other const)

=> (vdv/ds)*v=c2

=>v

^{2}dv=c2*ds

integrating you get v

^{3}/3+k1(const of integ)=c1*s+k2

Now in the question nothing about initial velocity or displacement is given and the answer is v varies wrt s

^{(1/3)}which you get after integration only if constants of integration are 0.....

Similar problem in part 2......if constants of integration are 0 then you get s varies as t

^{3/2}which is the answer.....

So i think the question is kinda incomplete....Isnt it?