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AP EAMCET · PHYSICS · Motion In Two Dimensions

A gody is projected from the ground at an angle of \(\tan ^{-1}\left(\frac{8}{7}\right)\) with the horizontal. The ratio of the maximum height attained by it to its range is

  1. A \(8: 7\)
  2. B \(4: 7\)
  3. C \(2: 7\)
  4. D \(1: 7\)
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Answer & Solution

Correct Answer

(C) \(2: 7\)

Step-by-step Solution

Detailed explanation

For a projectile projected at angle \(\theta\); Maximum height, \(H_{\max }=\frac{u^2 \sin ^2 \theta}{2 g}\) and range, \(R=\frac{u^2 \sin 2 \theta}{g}\) \(\therefore\) Ratio…
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