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JEE Main 2025Physics Mechanics

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mcq
2025
Official previous-year question

Verified 30 May 2026.

Question

The range of a projectile launched with initial velocity $u$ at angle $\theta$ with the horizontal is given by:

Options

  1. A

    $R = \frac{u^2 \sin(2\theta)}{g}$

  2. B

    $R = \frac{u^2 \sin(\theta)}{g}$

  3. C

    $R = \frac{u^2 \cos(2\theta)}{g}$

  4. D

    $R = \frac{2u^2 \sin(\theta)}{g}$

Solution

The range of a projectile is given by $R = \frac{u^2 \sin(2\theta)}{g}$. This is derived by finding the time of flight $T = \frac{2u\sin\theta}{g}$ and horizontal distance $R = u\cos\theta \cdot T$.

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