A 0.7-kg ball that can slide on a horizontal frictionless surface is attached to a fixed point

Question:

A 0.7-kg ball that can slide on a horizontal frictionless surface is attached to a fixed point O by means of an elastic cord of constant nt k = 150 N/m and un-deformed length 600 mm. The ball is placed at point A, 800 mm from O, and given an initial velocity v0 perpendicular to OA, allowing the ball to come within a distance d = 270 mm of point O after the cord has become slack. Determine

(a) The initial speed v0 of the ball,

(b) Its maximum speed.