1957 AHSME Problem 15

The table below shows the distance s in feet a ball rolls down an inclined plane in t seconds.

\begin{array}{|c|c|c|c|c|c|c|} t & 0 & 1 & 2 & 3 & 4 & 5\\ s & 0 & 10 & 40 & 90 & 160 & 250\\ \end{array}

The distance s for t = 2.5 is:

\textbf{(A)}\ 45\qquad \textbf{(B)}\ 62.5\qquad \textbf{(C)}\ 70\qquad \textbf{(D)}\ 75\qquad \textbf{(E)}\ 82.5

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.