JEE Main 2026 Apr 8 Shift 2, Physics Q6: Motion In Two And Three Dimension

JEE Main2026Apr 8, Shift 2Physics

Two identical bodies, projected with the same speed at two different angles cover the same horizontal range $R$ . If the time of flight of these bodies are $5$ s and $10$ s, respectively, then the value of $R$ is ________ m. (Take $g = 10$ m/s $^{2}$ )

A
$250$
B
$252$
C
$500$
D
$125$

Solution

Equal range with equal speed means the two launch angles are complementary, say $θ$ and $9 0^{\circ} - θ$ .

Time of flight: $T_{1} = \frac{2 u sin θ}{g} = 10$ s gives $u sin θ = 50$ m/s.

$T_{2} = \frac{2 u cos θ}{g} = 5$ s gives $u cos θ = 25$ m/s.

Range: $R = \frac{2 ( u sin θ ) ( u cos θ )}{g} = \frac{2 \cdot 50 \cdot 25}{10} = 250$ m.

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JEE Main 2026 Apr 8 Shift 2, Physics Q6: Motion In Two And Three Dimension

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