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 \(\displaystyle{\frac{{\text{meters}}}{{\text{second squared}}}}\)

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 \(\displaystyle{\frac{{\text{meters}}}{{\text{second squared}}}}\)