A radar gun was used to record the speed of a runner during the first 5 seconds of a race, and the measurements are recorded in the table below. Use Simpson's Rule to estimate the distance (in meters) the runner covered during those 5 seconds. Make sure your answer is correct to three decimal places. $$\begin{array}{|c|c|}\hline t( s) & v( m/s) \\ \hline 0.0 & 0 \\ \hline 0.5 & 4.67 \\ \hline 1.0 & 7.34 \\ \hline 1.5 & 8.86 \\ \hline 2.0 & 9.73 \\ \hline 2.5 & 10.22 \\ \hline 3.0 & 10.51 \\ \hline 3.5 & 10.67 \\ \hline 4.0 & 10.76 \\ \hline 4.5 & 10.81 \\ \hline 5.0 & 10.81 \\ \hline \end{array}$$

Distance covered $\approx$ meters