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AP EAMCET · PHYSICS · Motion In Two Dimensions

A projectile can have the same range (R) for two angles of projection. Their initial velocities are same. If \(T_1\) and \(\mathrm{T}_2\) are times of flight in two cases, then the product of two times of flight is directly proportional to

  1. A \(\frac{1}{R}\)
  2. B \(\mathrm{R}^3\)
  3. C \(\mathrm{R}^2\)
  4. D \(R\)
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Answer & Solution

Correct Answer

(D) \(R\)

Step-by-step Solution

Detailed explanation

For same range, \(R_1=R_2=R\) \(\theta_1=\theta, \theta_2=\left(90^{\circ}-\theta\right)\) \(\therefore \mathrm{T}_1=\frac{2 \mathrm{u} \sin \theta_1}{\mathrm{~g}}=\frac{2 \mathrm{usin} \theta}{\mathrm{g}}\)…
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