A point moves about O in SHM. The point has velocity v1 at distance x1 and velocity v2 at distance x2. Show that the period of motion is 2 * pi* sqrt[(x1^2-x2^2)/(v2^2-v1^2)].

A point moves about O in SHM. The point has velocity v1 at distance x1 and velocity v2 at distance x2. Show that the period of motion is 2 * pi* sqrt[(x1^2-x2^2)/(v2^2-v1^2)].