(a) A point moving in a circle of radius R has a tangential component of acceleration that is always n times the normal component of acceleration (radial acceleration). At a certain instant speed of particle is `v_(0)`. What is its speed after completing one revolution?
(b) The tangential acceleration of a particle moving in xy plane is given by `a_(t) = a_(0) cos theta`. Where `a_(0)` is a positive constant and q is the angle that the velocity vector makes with the positive direction of X axis. Assuming the speed of the particle to be zero at `x = 0`, find the dependence of its speed on its x co-ordinate.

Answer

(a) `v_(0)e^(2pin)` (b) `V = sqrt(2a_(0)x)`