JEE Main 2022PhysicsMotion In Two DimensionsEasyNumerical

JEE Main 2022 — Motion In Two Dimensions Question with Solution

JEE Main 2022 (29 Jul Shift 1)

Question

An object is projected in the air with initial velocity u at an angle θ. 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 case. The value of the angle of projection, at which the second object is projected, will be _____  degree.

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Show full solutionCorrect answer: 15
Correct answer
15

Step-by-step explanation

The maximum range is given by, Rmax=u2sin245°g=u2 g.

For the range to be half of the maximum range,

Rmax2=u22 g=u2sin2θg

⇒sin2θ=12

⇒2θ=30°or 2θ=150°

⇒θ=15°,75°

Therefore, answer is 15 or 75

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About this question

This is a previous-year question from JEE Main 2022, covering the Motion In Two Dimensions chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.