Question

The maximum range of a projectile fired with some initial velocity is found to be 1000 metre, in the absence of wind and air resistance. The maximum height h reached by this projectile is

• A. 250 m
• B. 500 m
• C. 1000 m
• D. 2000 m

Answer 1

Answer: (A)

250 m

Answer 2

$R_{max} = \frac{u^2}{g} = 1000 m$
(R is maximum when $\theta$ = 45?)
$H = \frac{u^2 \, \sin^2 \, \theta}{2g} = \frac{u^2}{2g} \times \sin^2 \, 45^\circ$
$= \frac{1000}{4} = 250 \, m$
So, the correct option is (A): 250 m.