Velocity as a function of radial distance on an elliptical trajectory

[psid]

Homework Statement

Assume that a point on an ellipse is described by the vector $$r=m(a\cos{\theta},b\sin{\theta})$$, where $$0\leq m\leq 1$$ and that the vector is rotating in the clockwise direction at constant tangential velocity $$W$$ when $$m=1$$.

The problem is to find the velocity $$W(m)$$.

Also, is the angular velocity constant as it is for circular motion?

 

[nickjer]

Did you take the time derivative of it and then calculate the magnitude of dr/dt?