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? (Given $g = 10 m / s^{2}$ )

605.3 m

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600 m

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80 m

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230 m

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Solution

The correct option is A $600 m$
A bomb is dropped such that its vertical component of the velocity is zero.
Height $h = 80$ m, and bomb is in free fall.
But since aeroplane is moving at 1 $50 m / s$ , the bomb has a horizontal component as well.
$g = 10 m / s^{2}$
$h = \frac{1}{2} g t^{2}$ ; $t = 4 s$
In this $4$ sec the bomb has covered a horizontal distance of $s = 150 \times 4 = 600 m$
Option B

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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? (Given g=10 m/s2)

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? (Given $g = 10 m / s^{2}$ )