Question

A cricketer can throw a ball to a maximum horizontal distance of 100 m. With the same effort, he throws the ball vertically upwards. The maximum height attained by the ball is

• A. 100 m
• B. 80 m
• C. 60 m
• D. 50 m

Answer 1

Answer: (D)

50 m

Answer 2

${R\frac{u^{2}}{g}}_{\max}$ (when $\theta = 45{^\circ}$)

$\therefore u^{2} = 100 \times 10 = 1000$

${H\frac{u^{2}}{2g}}_{\max} = \frac{1000}{2 \times 10} = 50metre.$ (when $\theta = 90{^\circ}$)