At the height 80 m, an aeroplane is moved 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 ? (g=10 m / s 2)

Question

At the height 80 m, an aeroplane is moved 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 ? (g=10 m / s 2) (A) 605.3 m (B) 600 m (C) 80 m (D) 230 m

Tardigrade Admin · Accepted Answer

Time taken by the bomb to reach the ground is given by

h_{O A} = \frac{1}{2} g t_{OB}^{2}

we have

t_{OB} = \frac{2 h _{Q A}}{g}

Given,

h_{O A} = 80 m, g = 10 m / s^{2}

∴ t_{OB} = \frac{2 \times 80}{10} = 4 s

Horizontal velocity of bomb

v = 150 m / s

Horizontal distance covered by the bomb

A B = v t_{OB}

= 150 \times 4

= 600 m

Hence, the bomb-should be dropped

600 m

before the target.

Q. At the height 80m, an aeroplane is moved with 150m/s.A bomb is dropped from it, so as to hit a target. At what distance from the target should the bomb be dropped ? (g=10m/s2)

605.3 m

600 m

80 m

230 m

Q. At the height $80 m$ , an aeroplane is moved 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 ? $(g = 10 m / s^{2})$