JEE Main 2019PhysicsLaws of MotionHardMCQ

JEE Main 2019 — Laws of Motion Question with Solution

JEE Main 2019 (10 Apr Shift 1)

Question

A ball is thrown upward with an initial velocity V0 from the surface of the earth. The motion of the ball is affected by a drag force equal to  mγv2 (where m is mass of the ball, v is its instantaneous velocity and γ is a constant). Time taken by the ball to rise to its zenith is:

Choose an option

Show full solutionCorrect option: B
Correct answer
B1γgtan-1⁡γgV0

Step-by-step explanation

Net force on ball,
F=-mg-mγv2
a=-g-γv2
dvdt=-g-γv2
∫v=V0v=0dvg+γv2=∫t=0t-dt
1gγtan-1γgvv=V0v=0=-t
∴t=1γgtan-1 γgV0

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About this question

This is a previous-year question from JEE Main 2019, covering the Laws of Motion 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.