The Speed of a Runner Increased Steadily During the First

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.
$\begin{array}{|c|c|c|c|c|c|c|c|}\hline t(\mathrm{~s}) & 0 & 0.5 & 1.0 & 1.5 & 2.0 & 2.5 & 3.0 \\\hline(\mathrm{ft} / \mathrm{s}) & 0 & 2.1 & 5 & 6.8 & 9.7 & 12.9 & 17.5 \\\hline\end{array}$