A small ball is fastened to a long rubber band and twirled around in such a way that the b...

A small ball is fastened to a long rubber band and twirled around in such a way that the ball moves in an elliptical patih given by the equation

where b and ω are constants. Find the speed of the ball as a function of t. In particular, find υ at t = 0 and at t = π/2ω, at which times the ball is, respectively, at its minimum and maximum distances from the origin.