A fighter plane, flying horizontally with a speed $ 360 \mathrm{~km} / \mathrm{h} $ at an altitude of $ 500 \mathrm{~m} $ drops a bomb for a target straight ahead of it on the ground. The bomb should be dropped at what approximate distance ahead of the target? Assume that acceleration due to gravity $ (g) $ is $ 10 \mathrm{~ms}^{-2} $. Also, neglect air drag.

Question

A fighter plane, flying horizontally with a speed $ 360 \mathrm{~km} / \mathrm{h} $ at an altitude of $ 500 \mathrm{~m} $ drops a bomb for a target straight ahead of it on the ground. The bomb should be dropped at what approximate distance ahead of the target? Assume that acceleration due to gravity $ (g) $ is $ 10 \mathrm{~ms}^{-2} $. Also, neglect air drag., $ 1000 \mathrm{~m} $, $ 50 \sqrt{5} \mathrm{~m} $, $ 500 \sqrt{5} \mathrm{~m} $, $ 866 \mathrm{~m} $

MARKS App · Accepted Answer

Given, speed of fighter plane, v = 360 km / h = 360 × 5 18 m / s = 100 m / s Altitude, h = 500 m Now, from equation of motion, h = u t + 1 2 g t 2 ⇒ 500 = 0 t + 1 2 × 10 × t 2 ∵ u = 0 and g = 10 m / s 2 ⇒ t 2 = 100 ⇒ t = 10 s ∴ The bomb should be dropped at the distance, x = v t = 100 × 10 = 1000 m

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