An object is projected in the air with initial velocity u at an angle… | JEE Main 2022 (29 Jul, Shift 1)

Q22JEE Main 2022 · 29 JUL · SHIFT 1Medium

Comparing Two Projectiles

An object is projected in the air with initial velocity u at an angle $\theta$ . The projectile motion is such that the horizontal range R, is maximum. Another object is projected in the air with a horizontal range half of the range of first object. The initial velocity remains same in both the cases. The value of the angle of projection, at which the second object is projected, will be _________ degree.

Numerical answer type. Work it out, then open the answer.

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Answer: 15

Maximum range at $45^\circ$ : $R = \frac{u^2}{g}$ .
Second object: $\frac{u^2\sin 2\theta}{g} = \frac{u^2}{2g} \Rightarrow \sin 2\theta = \frac{1}{2}$
$2\theta = 30^\circ \Rightarrow \theta = 15^\circ$

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Comparing Two Projectiles question from JEE Main 2022 (29 Jul, Shift 1)

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