If a ball is thrown into the air with a velocity of44ft/s, its height in feettseconds later is given byy=44t16t².

(a) Find the average velocity for the time period beginning whent= 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 whent= 2.

ft/s