Question

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)

• A. 605.3 m
• B. 600 m
• C. 80 m
• D. 230 m

Answer 1

Answer: (A)

605.3 m

Answer 2

The horizontal distance covered by bomb,

$BC = v_{H} \times \sqrt{\frac{2h}{g}} = 150\sqrt{\frac{2 \times 80}{10}} = 660m$

∴ The distance of target from dropping point of bomb,

$AC = \sqrt{AB^{2} + BC^{2}} = \sqrt{(80)^{2} + (600)^{2}} = 605.3m$