The height $s$ of a ball (in feet) at time $t$ (in seconds) is given by the formula $s(t) = 64 - 16(t - 1)^2$. Consider the following expression. $$AV_{[0.5,1]} = \frac{s(1)-s(0.5)}{1-0.5}$$

Compute the value of $AV_{[0.5,1]}$.

What does this value measure geometrically?
slope. The slope of the line between the points $(0.5, s(0.5))$ and $(1, s(1))$.
curvature. The curvature of the graph of $s$ on the interval $0.5 \leq t \leq 1$.
area. The area under the graph of $s$ on the interval $0.5 \leq t \leq 1$.
distance. The distance between the points $(0.5, s(0.5))$ and $(1, s(1))$.

What does this value measure physically?
average velocity. The average velocity of the ball during the interval $0.5 \leq t \leq 1$.
distance. The distance that the ball travels during the interval $0.5 \leq t \leq 1$.
direction. The direction that the ball traveling during the interval $0.5 \leq t \leq 1$.
acceleration. The acceleration of the ball during the interval $0.5 \leq t \leq 1$.

What are the units on $AV_{[0.5,1]}$?
feet per second
feet
seconds
feet per second squared
foot seconds
none of these