A homogeneous solid sphere of radius R is resting on a horizontal surface. It is set in motion by a horizontal impulse imparted to it at a height h above the centre. If `h` is greater than `h_(0)`, the velocity of the sphere increases in the direction of its motion after the start. If `h lt h_(0)` the velocity decreases after the start. Find `h_(0)`

Answer

`h_(0) = (2R)/(5)`