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Physics (AS & A Level) · May / June 2021 · Paper 12 · Question 7

9702Equations of motion

A projectile is fired from point P with velocity $V$ at an angle $\theta$ to the horizontal. It lands at point Q, a horizontal distance $R$ from P. Air resistance is negligible. The acceleration of free fall is $g$. Which equation for $R$ is correct?

  1. A$R = \dfrac{V^2 \sin\theta \cos\theta}{g}$
  2. B$R = \dfrac{2V^2 \sin\theta \cos\theta}{g}$
  3. C$R = \dfrac{V^2 \sin\theta \cos\theta}{2g}$
  4. D$R = \dfrac{V^2 g \sin\theta \cos\theta}{2}$

As printed in the paper

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Correct answer: B. $R = \dfrac{2V^2 \sin\theta \cos\theta}{g}$

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