Projectile Involving Rotational or Combined Physics

The question combines projectile motion with another physics concept such as rolling (moment of inertia), circular motion speed equivalence, or energy methods beyond simple kinematics.

jee-main 2013 Q5 View
A tennis ball (treated as hollow spherical shell) starting from O rolls down a hill. At point A the ball becomes air borne leaving at an angle of $30^{\circ}$ with the horizontal. The ball strikes the ground at B. What is the value of the distance AB? (Moment of inertia of a spherical shell of mass $m$ and radius $R$ about its diameter $= \frac{2}{3}mR^2$)
(1) 1.87 m
(2) 2.08 m
(3) 1.57 m
(4) 1.77 m