Physics Two Dimensional Motion Question 226

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=10m/s^{2} $ )

Options:

A) 605.3 m B) 600 m C) 80 m D) 230 m

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Answer:

Correct Answer: A

Solution:

[a] 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}}}=605.3,m $