A radar gun was used to record the speed of a runner during the first 5 seconds of a race (see the table). Use Simpson's Rule to estimate the distance the runner covered during those 5 seconds.
table:
t (s) v (m/s) t (s) v (m/s)
0 0 3.0 10.52
0.5 4.68 3.5 10.68
1.0 7.35 4.0 10.73
1.5 8.85 4.5 10.84
2.0 9.78 5.0 10.84
2.5 10.27