Question

Sachin (S) hits a ball along the ground with a speed u in a direction which makes an angle 30º with the line joining him and the fielder Prem (P).

Prem runs to intercept the ball with a speed $\frac{2u}{3}$.

At what angle q should he run to intercept the ball?

• A. sin^–1 $\frac{\sqrt{3}}{2}$
• B. sin^–1$\frac{2}{3}$
• C. sin^–1$\frac{3}{4}$
• D. sin^–1$\frac{4}{5}$

Answer 1

Answer: (C)

sin^–1$\frac{3}{4}$

Answer 2

Relative to P, the path of S should be along the line SP. So ^ to this path, relative velocity should be zero.