Solve for v mgh=1/2*(mv^2)

Math
mgh=12⋅(mv2)
Rewrite the equation as 12⋅(mv2)=mgh.
12⋅(mv2)=mgh
Multiply both sides of the equation by 2.
2⋅12⋅(mv2)=2⋅(mgh)
Simplify both sides of the equation.
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Simplify 2⋅12⋅(mv2).
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Cancel the common factor of 2.
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Cancel the common factor.
2⋅12⋅(mv2)=2⋅(mgh)
Rewrite the expression.
1⋅(mv2)=2⋅(mgh)
1⋅(mv2)=2⋅(mgh)
Multiply mv2 by 1.
mv2=2⋅(mgh)
mv2=2⋅(mgh)
Remove parentheses.
mv2=2mgh
mv2=2mgh
Divide each term by m and simplify.
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Divide each term in mv2=2mgh by m.
mv2m=2mghm
Cancel the common factor of m.
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Cancel the common factor.
mv2m=2mghm
Divide v2 by 1.
v2=2mghm
v2=2mghm
Cancel the common factor of m.
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Cancel the common factor.
v2=2mghm
Divide 2gh by 1.
v2=2gh
v2=2gh
v2=2gh
Take the square root of both sides of the equation to eliminate the exponent on the left side.
v=±2gh
The complete solution is the result of both the positive and negative portions of the solution.
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First, use the positive value of the ± to find the first solution.
v=2gh
Next, use the negative value of the ± to find the second solution.
v=-2gh
The complete solution is the result of both the positive and negative portions of the solution.
v=2gh
v=-2gh
v=2gh
v=-2gh
Solve for v mgh=1/2*(mv^2)

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