- #1

turtles123

- 5

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I am trying to solve for the velocity in terms of position of a particle moving with non-constant acceleration.

a=c*t (where c is a constant)

I can easily solve for velocity in terms of t.

dv/dt=a

dv/dt=c*t

I differentiate and get v=1/2*c*t^2+v0 (where v(0)=v0)

However I am not sure how to solve for velocity in terms of only position. I would know how to do this if acceleration was proportional to velocity, but since it is proportional to time, I am not sure what to do to get rid of the variable t.

Let me know if anyone has any suggestions.