Q. A bullet is fired with a speed of $1000\ m/sec$ in order to hit a target $100\ m$ away. If $g = 10\ m/s^{2}$, the gun should be aimed
A) Directly towards the target
B) $5\ cm\ above\ the\ target$
C) $10\ cm\ above\ the\ target$
D) $15\ cm\ above\ the\ target$
Explanation
(b) Bullet will take $\frac{100}{1000} = 0.1\sec\ $to reach target.
During this period vertical distance (downward) travelled by the bullet $= \frac{1}{2}gt^{2} = \frac{1}{2} \times 10 \times (0.1)^{2}m = 5cm$
So the gun should be aimed $5\ cm$ above the target
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.