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 m γ u² (where m is mass of the ball, u is its instantaneous velocity and γ is a constant). Time taken by the ball to rise to its zenith is:

(A) 1/(√(γ g)) tan ⁻¹(√((γ)/g) V₀)

(B) 1/(√(γ g))ln(1+ √((γ)/g) V₀)

(C) 1/(√(γ g)) sin ⁻¹(√((γ)/g) V₀)

(D) 1/(√(2γ g)) tan ⁻¹(√((2γ)/g) V₀)

Laws of Motion: JEE Main 2019 Physics question

JEE Main 2019 · 10 Apr, Morning shift · Q7580

JEE Main 201910 Apr, Morning shiftPhysicsHardLaws of Motion70× since 2002

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 m

\gamma

u² (where m is mass of the ball, u is its instantaneous velocity and

\gamma

is a constant). Time taken by the ball to rise to its zenith is :

JEE Main 2019 Laws of Motion Question with Solution (10 Apr Morning shift, Q7580) | JEE Arc

JEE Main 2019 · 10 Apr, Morning shift · Q7580

JEE Main 201910 Apr, Morning shiftPhysicsHardLaws of Motion70× since 2002

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 m

\gamma

u² (where m is mass of the ball, u is its instantaneous velocity and

\gamma

is a constant). Time taken by the ball to rise to its zenith is :