A student dropped a textbook from hte top flor of his dorm and it fell aoccrding to the formula s(t)=-16t^2+ 8(t)^1/2, where t is the time in seconds and s(t) is the distance in feet from the top of the building. (a) Write a formula for the average velocity of the ball for t near 4.
(b) Find the average velocity for the time interval beginning when t = 4 with duration 1 seconds, 0.5 seconds, and 0.05 seconds.
(c) What is your estimate for the instantaneous velocity of the ball at t = 4.