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WBJEE · Physics · Motion In Two Dimensions

A fighter plane, flying horizontally with a speed \(360 \mathrm{kmph}\) 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 \((\mathrm{g})\) is \(10 \mathrm{~ms}^{-2}\). Also neglect air drag

  1. A \(1000 \mathrm{~m}\)
  2. B \(50 \sqrt{5} \mathrm{~m}\)
  3. C \(500 \sqrt{5} \mathrm{~m}\)
  4. D \(866 \mathrm{~m}\)
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Answer & Solution

Correct Answer

(A) \(1000 \mathrm{~m}\)

Step-by-step Solution

Detailed explanation

Hint: \(v=360 \mathrm{~km} / \mathrm{h}=100 \mathrm{~m} / \mathrm{s} .\) \(\mathrm{h}=500 \mathrm{~m}\) \(\mathrm{R}=\mathrm{u} \sqrt{\frac{2 \mathrm{~h}}{\mathrm{~g}}}=100 \times \sqrt{\frac{2 \times 500}{10}}=1000 \mathrm{~m}\)
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