Solve for the indicated variable.
-$a t ^ { 2 } + u y = h$ for $t$
A) $t = \frac { \sqrt { a ( h - u y ) } } { a }$ or $t = \frac { \sqrt { a ( h + u y ) } } { a }$
B) $t = \pm \sqrt { a ( h - u y ) }$
C) $t = \sqrt { \frac { h - u y } { a } }$
D) $t = \pm \frac { \sqrt { a ( h - u y ) } } { a }$

Question

Quizplus · Accepted Answer

To solve for $t$, we first isolate $t^2$ by subtracting $uy$ from both sides and then dividing by $a$, giving us $t^2 = \frac{h - uy}{a}$. Taking the square root of both sides to solve for $t$ introduces a $\pm$ sign, resulting in $t = \pm \sqrt{\frac{h - uy}{a}}$. Simplifying further, we get $t = \pm \frac{\sqrt{a(h - uy)}}{a}$, which matches option D.

Solve for the Indicated Variable at2+uy=ha t ^ { 2 } + u y = hat2+uy=h

Solve for the Indicated Variable $a t ^ { 2 } + u y = h$