Difference between revisions of "1957 AHSME Problems/Problem 15"
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 &...") |
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== See also == | == See also == | ||
| − | {{AHSME box|year=1957|num-b=14|num-a=16}} | + | {{AHSME 50p box|year=1957|num-b=14|num-a=16}} |
{{MAA Notice}} | {{MAA Notice}} | ||
[[Category:AHSME]][[Category:AHSME Problems]] | [[Category:AHSME]][[Category:AHSME Problems]] | ||
Latest revision as of 09:21, 25 July 2024
The table below shows the distance 
in feet a ball rolls down an inclined plane in 
seconds.
![\[\begin{tabular}{|c|c|c|c|c|c|c|}\hline t & 0 & 1 & 2 & 3 & 4 & 5\\ \hline s & 0 & 10 & 40 & 90 & 160 & 250\\ \hline\end{tabular}\]](http://latex.artofproblemsolving.com/4/6/8/4688fffd4c2b1d8e1af133c2b756c657e25e5438.png)
The distance for 
is:
Solution
Looking at the pattern, we can determine that 
. Applying the relationship, we can see that 
when 
.
See also
| 1957 AHSC (Problems • Answer Key • Resources) | ||
| 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 • 31 • 32 • 33 • 34 • 35 • 36 • 37 • 38 • 39 • 40 • 41 • 42 • 43 • 44 • 45 • 46 • 47 • 48 • 49 • 50 | ||
| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
