Kinematics Question 508

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)[BCECE 2004]

Options:

A) 605.3 m

B)600 m

C) 80 m

D) 230 m

Show Answer

Answer:

Correct Answer: A

Solution:

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 $



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