SOLUTION: I am not sure if this is a quadratic actually, but I wasn't sure what selection in the drop down menu fit this problem. The equation I am stuck on is s=1/3gt^2 (gt squared) and

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: I am not sure if this is a quadratic actually, but I wasn't sure what selection in the drop down menu fit this problem. The equation I am stuck on is s=1/3gt^2 (gt squared) and       Log On


   



Question 212171: I am not sure if this is a quadratic actually, but I wasn't sure what selection in the drop down menu fit this problem.
The equation I am stuck on is s=1/3gt^2 (gt squared) and it says to solve for t
I tried a few methods to try to get t over on the left alone but I keep getting stuck.

Found 3 solutions by RAY100, drj, Theo:
Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
s=1/3gt^2,,,,,,,,,we think it should be 1/2 gt^2, but we'll do the problem as is,,,but g is not squared
.
multiply by 3,,,,,and divide by g
.
3s/g = t^2
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take square root both sides
.
t - +/- sqrt(3s/g),,,,,,,,answer
.
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if, s=1/3(gt)^2,,, then just mult by 3
.
3s = (gt)^2
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take sq rt
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gt = +/- sqrt(3s)
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t= +/- [sqrt(3s)}/g
.
.
However, we still like,,,,t= +/- sqrt(2s/g)
.
.

Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
I am not sure if this is a quadratic actually, but I wasn't sure what selection in the drop down menu fit this problem.
The equation I am stuck on is s=1/3gt^2 (gt squared) and it says to solve for t

Step 1. Base on your problem statement, I interpreted as follows:

s=%28gt%29%5E2%2F3

Step 2. Take the Square Root of both sides of equation

sqrt%28s%29=sqrt%28%28gt%29%5E2%2F3%29

sqrt%28s%29=gt%2Fsqrt%283%29%29
Step 3. Now multiply by

sqrt%283%29%2Fg to both sides of equation and to isolate t

This yields

sqrt%28s%29sqrt%283%29%2Fg=t

Step 3. Simplify left side.

sqrt%283s%29%2Fg=t or

t=+sqrt%283s%29%2Fg solution

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Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
equation is s = 1/3gt^2
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I don't know if you mean s+=+%281%2F3%29%2Agt%5E2
or if you mean s+=+1%2F%283gt%5E2%29
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assuming s+=+%281%2F3%29%2Agt%5E2 you would do the following:
multiply both sides of the equation by 3 to get:
3s+=+gt%5E2
divide both sides of the equation by g to get:
3s%2Fg+=+t%5E2
take the square root of both sides of the equation to get:
+/- sqrt%283s%2Fgt%29+=+t
your answer should be:
t = +/- sqrt%283s%2Fgt%29
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assuming s+=+1%2F%283gt%5E2%29 you would do the following:
multiply both sides of the equation by t%5E2 to get:
st%5E2 = 1%2F%283g%29
divide both sides of the equation by s to get:
t%5E2+=+1%2F%283sg%29%29
take the square root of both sides of the equation to get:
t = +/- sqrt%281%2F%283sg%29%29
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