Q. A bomb is dropped on an enemy post by an aeroplane flying horizontally with a velocity of $60\ kmh^{- 1}$ and at a height of 490 m. At the time of dropping the bomb, how far the aeroplane should be from the enemy post so that the bomb may directly hit the target?

A) $\frac{400}{3}m$
B) $\frac{500}{3}m$
C) $\frac{1700}{3}m$
D) $498\ m$
Explanation

(b) $t = \sqrt{\frac{2h}{g}} = \sqrt{\frac{2 \times 490}{9.8}} = \sqrt{100} = 10\ s$
$x = vt = \left( 60 \times \frac{5}{18} \right)ms^{- 1} \times 10\ s = \frac{500}{3}m$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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