Answer:
[tex]d=\dfrac{t^2}{a}[/tex]
Step-by-step explanation:
The time in seconds, required for an object accelerating at a constant rate of a meters/second to travel a distance of d meters is given by this equation.
t = va
We need to find the expression for d in terms of t and a.
As velocity = distance/time
[tex]t=\dfrac{d}{t}a\\\\t^2=da\\\\d=\dfrac{t^2}{a}[/tex]
So, the distance d is [tex]\dfrac{t^2}{a}[/tex].