A ball is dropped from a state of rest at time $t=0$.
The distance traveled after $t$ seconds is $s(t)=16t^2$ ft.

(a) How far does the ball travel during the time interval $[2,{2.5}]$ ?
${\Delta}s=$ ft

(b) Compute the average velocity over $[2,{2.5}]$ .
$\frac{{\Delta}s}{{\Delta}t}=$ $\frac{\text{ft}}{\text{sec}}$

(c) Compute the average velocity over time intervals [2, 2.01] , [2, 2.001] , [2, 2.0001] , [1.9999, 2] , [1.999, 2] , [1.99, 2] .
Use this to estimate the object's instantaneous velocity at $t={2}$ .
$V(2) =$ $\frac{\text{ft}}{\text{sec}}$