At the height 80 m, an aeroplane is movin

Your Ultimate Guide to JEE & NEET Question Solutions

At the height $80 \,m$, an aeroplane is moving with $150\, m/s$. A bomb is dropped from it so as to hit a target. At what distance from the target should the bomb be dropped ......... $m$.

A

$605.3$

B

$600$

C

$80$

D

$230$

At the height $80 \,m$, an aeroplane is moving with $150\, m/s$. A bomb is dropped from it so as to hit a target. At what distance from the target should the bomb be dropped ......... $m$.

The horizontal distance covered by bomb,

$BC = {v_H} \times \sqrt {\frac{{2h}}{g}} = 150\sqrt {\frac{{2 \times 80}}{{10}}} = 600\,m$

The distance of target from dropping point of bomb,

$AC = \sqrt {A{B^2} + B{C^2}} = \sqrt {{{(80)}^2} + {{(600)}^2}} = 605.3\,m$