Textbook Problem

If a ball is thrown into the air with a velocity of 40 ft/s, its height in feet t seconds later is given by y = 40t – 16t².

(a) Find the average velocity for the time period beginning when t = 2 and lasting

(i) 0.5 seconds

(ii) 0.1 seconds

(iii) 0.05 seconds

(iv) 0.0 I seconds

(b) Estimate the instantaneous velocity when t = 2.