A graphing calculator is recommended. If a ball is thrown into the air with an initial velocity of 52 ft/s, its height in feet after t seconds is given by y = 52t − 16t2. Required:
a. Find the average velocity of the ball (in ft/s) for the time interval beginning at t = 2 and lasting for each of the following.

(i) 0.5 seconds ft/s
(ii) 0.1 seconds ft/s
(iii) 0.05 seconds ft/s (iv) 0.01 seconds ft/s

b. Use your answers from part (a) to estimate the instantaneous velocity (in ft/s) when t = 2. ft/s