A spring-loaded device imparts an initial vertical velocity of 50 m/s to a 0.15-kg ball....

A spring-loaded device imparts an initial vertical velocity of 50 m/s to a 0.15-kg ball. The drag force on the ball is F_D = 0.002v², where F_D is in newtons when the speed v is in meters per second. Determine the maximum altitude h attained by the ball (a) with drag considered and (b) with drag neglected.