If a ball is thrown into the air with a velocity of 48 ft/s, its height in feet t seconds later is given by y = 48t − 16t2.

Question

(a) Find the average velocity for the time period beginning when 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) Estimate the instantaneous velocity when t = 2.
ft/s