If a ball is thrown into the air with a velocity of 34 ft/s, its height in feet t seconds later is given by y = 34t − 16t^2.Estimate the instantaneous velocity when t = 2.

Answer 1

dy/dt = instantaneous velocity = 34 - 32t

and at t=2 velocity = -30, i.e. the ball is falling at the rate of 32 ft/sec.