An aeroplane is flying horizontally with a

Your Ultimate Guide to JEE & NEET Question Solutions

An aeroplane is flying horizontally with a velocity of $600\, km/h$ at a height of $1960\, m$. When it is vertically at a point $A$ on the ground, a bomb is released from it. The bomb strikes the ground at point $B$. The distance $AB$ is

A

$1200 \,m$

B

$0.33\, km$

C

$3.33\, km$

D

$33 \,km$

An aeroplane is flying horizontally with a velocity of $600\, km/h$ at a height of $1960\, m$. When it is vertically at a point $A$ on the ground, a bomb is released from it. The bomb strikes the ground at point $B$. The distance $AB$ is

Horizontal displacement of the bomb

$AB$ = Horizontal velocity $×$ time available

$AB = \,u \times \sqrt {\frac{{2h}}{g}} $ $ = 600 \times \frac{5}{{18}} \times \sqrt {\frac{{2 \times 1960}}{{9.8}}} $ $ = 3.33\,Km.$