Solve the formula for the indicated letter. Assume that all variables represent nonnegative numbers.
-$$S = \frac { 1 } { 2 } g t ^ { 2 } \text { for } t$$
A) $t = \sqrt { \frac { g } { 2 S } }$
B) $t = 2 \sqrt { g s }$
C) $t = 2 g S$
D) $t = \sqrt { \frac { 2 S } { g } }$

Question

Quizplus · Accepted Answer

Start with the given formula: 
$$S=\frac{1}{2}gt^2$$
Multiply both sides by $\frac{2}{g}$:
$$\frac{2S}{g}=t^2$$
Take the square root of both sides:
$$t=\sqrt{\frac{2S}{g}}$$
Therefore, the answer is choice D.

Solve the Formula for the Indicated Letter S=12gt2 for tS = \frac { 1 } { 2 } g t ^ { 2 } \text { for } tS=21​gt2 for t

Solve the Formula for the Indicated Letter $S = \frac { 1 } { 2 } g t ^ { 2 } \text { for } t$