How do you solve d=\frac{1}{2}at^2?

luipieduq3 2021-11-23 Answered
How do you solve \(\displaystyle{d}={\frac{{{1}}}{{{2}}}}{a}{t}^{{2}}\)?

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Expert Answer

Troy Lesure
Answered 2021-11-24 Author has 8803 answers
Given equation can be solved for two remaining variables as follows
Solve for acceleration:
\(\displaystyle{2}{d}={a}{t}^{{2}}\), divide by \(\displaystyle{t}^{{2}}\)
\(\displaystyle{a}={\frac{{{2}{d}}}{{{t}^{{2}}}}}\)
Solve for time:
\(\displaystyle{2}{d}={a}{t}^{{2}}\), divide by a
\(\displaystyle{t}^{{2}}={\frac{{{2}{d}}}{{{a}}}}\), take square of both sides
\(\displaystyle{t}=\sqrt{{{\frac{{{2}{d}}}{{{a}}}}}}\)
Units for acceleration are \(\displaystyle{\frac{{\text{meters}}}{{\text{second squared}}}}\)
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