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AP EAMCET · PHYSICS · Motion In Two Dimensions

The maximum height attained by projectile is increased by \(10 \%\) by keeping the angle of projection constant. What is the percentage increase in the time of flight?

  1. A \(5 \%\)
  2. B \(10 \%\)
  3. C \(20 \%\)
  4. D 40
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Answer & Solution

Correct Answer

(A) \(5 \%\)

Step-by-step Solution

Detailed explanation

\begin{aligned} & \text {} \mathrm{H}=\frac{\mathrm{u}^2 \sin ^2 \theta}{2 \mathrm{~g}}, \mathrm{~T}=\frac{2 \mathrm{u} \sin \theta}{\mathrm{~g}} \\ & \Rightarrow \frac{\mathrm{H}}{\mathrm{~T}}=\frac{\mathrm{u}^2 \sin ^2 \theta}{2 \mathrm{~g}} \times \frac{\mathrm{g}}{2…

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