1956 AHSME Problems/Problem 40
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Problem 40
If 
and 
, then 
equals:
Solution
Solve for in the first equation:
![\[V - V_0 = gt\]](http://latex.artofproblemsolving.com/3/9/e/39e7bd96ea60e7bb4e475ee27b7a4e4039e2c528.png)
![\[t = \frac{V - V_0}{g}\]](http://latex.artofproblemsolving.com/a/9/6/a96e43f77a61009a3573b3f0c5a4f7f83b3546bb.png)
Then use the second equation to solve for 
![\[2(S - V_0 t) = gt^2\]](http://latex.artofproblemsolving.com/5/c/f/5cfe0d6c0d11b99def5a3b4dfdb7a9ada7fac716.png)
![\[g = \frac{2(S - V_0 t)}{t^2}\]](http://latex.artofproblemsolving.com/4/1/a/41a8602ac8434f50a2ac74a87890c078656173e0.png)
Plug in 
in to get 
-coolmath34
See Also
| 1956 AHSC (Problems • Answer Key • Resources) | ||
| Preceded by Problem 39 |
Followed by Problem 41 | |
| 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 | ||
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