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Guys help me out with this.Im not convinced with something

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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
=>v2dv=c2*ds
integrating you get v3/3+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 t3/2 which is the answer.....

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

Homework Statement





Homework Equations





The Attempt at a Solution

 

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