Question

An object of weight W is thrown vertically upward with speed Vo. Assuming that air resistance is proportional to the instantaneous velocity and that the constant of proportionality is K, prove that

a. The object will reach a maximum height of :

(WkVo)/(K*K*g) - (W*W/K*K*g)ln(1+ (K*Vo)/W)

b. and that the time taken to reach the maximum height is:

(W/K*g)ln(1+ (K*Vo)/W)