Solve for the specified variable. $s = \frac { 1 } { 2 } g t ^ { 2 } + v t \text { for } v$
A) $\frac { s + \frac { 1 } { 2 } g t ^ { 2 } } { t }$
B) $\frac { s - \frac { 1 } { 2 } g t ^ { 2 } } { t ^ { 2 } }$
C) $\frac { s - \frac { 1 } { 2 } g t ^ { 2 } } { t }$
D) $\frac { s + g t ^ { 2 } } { t ^ { 2 } }$
E) $\frac { t ^ { 2 } } { s + g t ^ { 2 } }$

Question

Quizplus · Accepted Answer

To isolate v, begin by subtracting the first term from both sides to obtain:

$$v=\frac{2s}{2t}-\frac{1}{2}gt$$
$$v=\frac{2s}{2t}-\frac{gt}{2}$$
$$v=\frac{s}{t}-\frac{1}{2}gt$$

Therefore, the correct answer is $\frac{s-\frac{1}{2}gt^2}{t}.$

Solve for the Specified Variable s=12gt2+vt for vs = \frac { 1 } { 2 } g t ^ { 2 } + v t \text { for } vs=21​gt2+vt for v

Solve for the Specified Variable $s = \frac { 1 } { 2 } g t ^ { 2 } + v t \text { for } v$