Anoop hits a ball along the ground at speed u in a direction making 30° with the line joining him to fielder Babul. Babul runs to intercept the ball with speed 2u/3. At what angle θ should Babul run relative to the joining line?

Question

G1 Physics · Accepted Answer

For interception, construct the relative-velocity triangle for the ball and Babul. Resolving perpendicular to the initial joining line gives the source relation sinθ= 3 4 \frac{3}{4} 4 3 ​ . Thus θ=sin⁻¹( 3 4 \frac{3}{4} 4 3 ​ ). Option C.