Recent content by turtles123

But then I get velocity in terms of time and I need velocity in terms of position, x.

Alternatively if I try to solve for t from the x(t) equation it is very hard to do so because I have #t^3+#t.

Yes, I did solve for position as a function of time, but then to make velocity of a function of position is very messy. When I plug in time= from the velocity equation into the position equation I get a very funky and long result, that I can't put in terms of x=

We are not given the position as a function of time. We are only given acceleration and are to assume that v(0)=v0 (a constant) and x(0)=x0 (a different constant).

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...