Question

Range $R$, maximum height $H$, and Time of flight $T$.

• A. 80 m, 20 m, 4 s
• B. 20 m, 80 m, 4 s
• C. 80 m, 4 m, 20 s
• D. 20 m, 80 m, 20 s

Answer 1

The correct option is A 80 m, 20 m, 4 s

Horizontal range $R=\frac{u^2\sin 2\theta }{g}=\frac{(20\sqrt{2}{)}^2\sin {90}^o}{10}=80$ m
Maximum height $H=\frac{u^2{\sin }^2\theta }{2g}=\frac{(20\sqrt{2}{)}^2\sin {45}^o}{2\times 10}=20$ m
Time of flight $T=\frac{2u\sin \theta }{g}=\frac{40\sqrt{2}\sin {45}^o}{10}=4$ s