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 ......... $m$.
$605.3$
$600$
$80$
$230$
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,
$AC = \sqrt {A{B^2} + B{C^2}} = \sqrt {{{(80)}^2} + {{(600)}^2}} = 605.3\,m$