Q. A bullet is to be fired with a speed of $20\ {ms}^{- 1}$ to hit a target 200m away on a level ground. If $g = {10\ ms}^{- 2},$ the gun should be aimed

A) directly at the target
B) 5 cm below the target
C) 5 cm above the target
D) 2 cm above the target
Explanation

(c) Horizontal distance of target is 200 m.
$Speed\ of\ bullet = 2000\ {ms}^{- 1}$
Time taken by bullet to cover the horizontal distance
$t = \frac{200}{2000} = \frac{1}{10}s$
During $\frac{1}{10}\ s,\ t$he bullet will fall down vertically due to gravitational acceleration.
Therefore, height above the target, so that the bullet hits the target is
$h = u + \frac{1}{2}gt^{2} = \left( 0 \times \frac{1}{10} \right) + \frac{1}{2} \times 10 \times (0.1)^{2}$
$= 0.05m = 5cm$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.