Question

A small ball of mass m is thrown upward with velocity u from the ground. The ball experiences a resistive force mkv², where v is its speed. The maximum height attained by the ball is

(1) (1/2k) tan^-1 (ku²/g)

(2) (1/k) In (1 + (ku²/2g))

(3) (1/2k) In (1 + (ku²/g))

(4) (1/k) tan^-1 (ku²/2g)

Answer 1

(3) (1/2k) In (1 + (ku²/g))