Answer:
[tex]t = \sqrt{\frac{2d}{a}}[/tex]
Step-by-step explanation:
Given
[tex]d = \frac{1}{2}at^2[/tex]
Required
Solve for t
To do this, we simply make t the subject of formula;
This is done as follows:
[tex]d = \frac{1}{2}at^2[/tex]
Multiply both sides by 2
[tex]2 * d = \frac{1}{2}at^2 * 2[/tex]
[tex]2d = at^2[/tex]
Divide both sides by 2
[tex]\frac{2d}{a} = \frac{at^2}{a}[/tex]
[tex]\frac{2d}{a} = t^2[/tex]
Take square root of both sides
[tex]\sqrt{\frac{2d}{a}} = t[/tex]
Reorder
[tex]t = \sqrt{\frac{2d}{a}}[/tex]
