1957 AHSME Problems/Problem 15

Revision as of 23:16, 27 March 2021 by Angrybird029 (talk | contribs) (Created page with "The table below shows the distance <math>s</math> in feet a ball rolls down an inclined plane in <math>t</math> seconds. <cmath>\begin{tabular}{|c|c|c|c|c|c|c|}\hline t & 0 &...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

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

\[\begin{tabular}{|c|c|c|c|c|c|c|}\hline t & 0 & 1 & 2 & 3 & 4 & 5\\ \hline s & 0 & 10 & 40 & 90 & 160 & 250\\ \hline\end{tabular}\] The distance $s$ for $t = 2.5$ is:

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

Solution

Looking at the pattern, we can determine that $t=10s^2$. Applying the relationship, we can see that $s = \boxed{\textbf{(B) }62.5}$ when $t=2.5$.

See also

1957 AHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 14
Followed by
Problem 16
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
All AHSME Problems and Solutions

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. AMC logo.png

Invalid username
Login to AoPS