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 mYv² where m is mass of the ball, u is its instantaneous velocity and y is a constant). Time taken by the ball to rise to its zenith is - VgyanHub

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 mYv² where m is mass of the ball, u is its instantaneous velocity and y is a constant). Time taken by the ball to rise to its zenith is

Options :

(a) (1/√yg)×tan-¹(√y/g×v0)
(b) (1/√yg)×ln(√y/g×v0)
(c) (1/√yg)×sin-¹(√y/g×v0)
(d) (1/√2yg)tan-¹(√2y/g×v0)

Answer :

(a) (1/√yg)tan-¹(√y/g×v0)

Answer Steps :

Step 1:

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