Solve for h.

mgh = 1/2mv² , solve for h

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mgh = 1/2mv²

Note: 1/2mv² is the same thing as:
mv²
—--
2

mv²
——— = mgh {wrote in fraction form}
2

To solve for h, just divide each side by mg.

mv²
——— = h {divided each side by mg}
2mg

v²
—— = h {cancelled the m’s}
2g

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