Question

A man riding on a flat car moving with 10 ms^-1. He attempts to throw a ball through a stationary hoop 5 m above his hand such that the ball moves horizontally through the hoop. He throws the ball with 12 ms^-1 with respect to himself. Find the horizontal distance from where he throws the ball

• A. 15 m
• B. 14.2 m
• C. 16.7 m
• D. 18.2 m

Answer 1

Answer: (C)

16.7 m

Answer 2

h_max = 5 = $\frac{u_{y}^{2}}{2g}$ ∴ u_y = 10

u_x = $\sqrt{12^{2} - 10^{2}} = \sqrt{44}$.

v_x = 10 +$\sqrt{44}$ ; T/2 = u_y/g = 1s;

x = v_x. (T/2) = 10 + $\sqrt{44}$ = 16.7 m