- #1
turtles123
- 5
- 0
Hello!
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.
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.