Answer
\[g=\frac{s-vt}{{{t}^{2}}}\]
Work Step by Step
An expression can be solved for a variable by performing various mathematical operations to isolate a specified variable on one side of the expression.
The equation can be solved for \[g\] as follows:
\[vt+g{{t}^{2}}=s\]
Subtract the quantity \[vt\] from both sides of the expression. This gives,
\[\begin{align}
& vt+g{{t}^{2}}-vt=s-vt \\
& g{{t}^{2}}=s-vt
\end{align}\]
Divide the quantity\[{{t}^{2}}\]into both sides of the expression which gives,
\[\begin{align}
& \frac{g{{t}^{2}}}{{{t}^{2}}}=\frac{s-vt}{{{t}^{2}}} \\
& g=\frac{s-vt}{{{t}^{2}}} \\
\end{align}\]
