JEE Main 2023PhysicsMotion In Two DimensionsHardNumerical

JEE Main 2023 — Motion In Two Dimensions Question with Solution

JEE Main 2023 (31 Jan Shift 2)

Question

Two bodies are projected from ground with same speeds 40 m s-1 at two different angles with respect to horizontal. The bodies were found to have same range. If one of the body was projected at an angle of 60°, with horizontal then sum of the maximum heights, attained by the two projectiles, is _____ m. (Given g=10 m s-2)

Enter your answer

Show full solutionCorrect answer: 80
Correct answer
80

Step-by-step explanation

For two projectiles with same speed to have the same horizontal range, angle of projection will be θ1+θ2=90°.

Therefore, θ2=90°-60°=30°.

Now, required sum of maximum heights will be,

Hmax1+Hmax2=u2sin2θ12g+u2sin2θ22g

=4022014+34=80 m

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Motion In Two Dimensions chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

This is a previous-year question from JEE Main 2023, 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.