Solve the equation for the variable t . Assume that all letters represent positive numbers. $q = \frac { 1 } { 2 } n t ^ { 2 }$
A) $t = \sqrt { \frac { n } { 2 q } }$
B) $t = \sqrt { \frac { 2 n } { q } }$
C) $t = \sqrt { \frac { 2 q } { n } }$

Question

Quizplus · Accepted Answer

To solve for $t$, we start with the given equation $q = \frac{1}{2}nt^2$. Multiplying both sides by 2 to eliminate the fraction gives $2q = nt^2$. Then, to solve for $t$, we take the square root of both sides, resulting in $t = \sqrt{\frac{2q}{n}}$, which matches option C.

Solve the Equation for the Variable T q=12nt2q = \frac { 1 } { 2 } n t ^ { 2 }q=21​nt2

Solve the Equation for the Variable T $q = \frac { 1 } { 2 } n t ^ { 2 }$