Question

Solve for t
The equation is in the photo

Answer 1

`\huge\boxed{t=\sqrt{(2d)/(a)}}`

Explanation:

`d=(1)/(2)at^2\\\\(1)/(2)at^2=d\qquad|\text{multiply both sides by 2}\\\\2\!\!\!\!\diagup\cdot(1)/(2\!\!\!\!\diagup)at^2=2\cdot d\\\\at^2=2d\qquad|\text{divide both sides by}\ a\\eq0\\\\(a\!\!\!\!\diagup t^2)/(a\!\!\!\!\diagup)=(2d)/(a)\\\\t^2=(2d)/(a)\to t=\sqrt{(2d)/(a)}`