The Speed of a Runner Increased Steadily During the First $t(\mathrm{~s})$

Short Answer

The speed of a runner increased steadily during the first three seconds of a race. Her speed at half-second intervals is given in the table. Find a lower estimate for the distance that she traveled during these three seconds. $t(\mathrm{~s})$ 0 $0.5$ $1.0$ $1.5$ $2.0$ $2.5$ $3.0$ $(\mathrm{ft} / \mathrm{s})$ 0 2.8
3.5
6.9
8.2
12.2
16.3