The Question is how do you find the time when given distance and acceleration.(A car starts from rest and accelerates uniformly at a rate 5.78...

We can use the equations of motion to solve this question. These equations relate, initial velocity (u), final velocity (v), distance traveled (s), time taken (t) and acceleration (a), as:

`v = u + at`

`s = ut + 1/2 at^2`

`v^2 = u^2 + 2as`

Here, the car starts from rest, hence u = 0. The acceleration of the car, a = 5.48 m/s^2 and the distance traveled is, s = 115 m.

Using the third equation from above,

`v^2 = 0^2 + 2 xx 5.48 xx 115`

solving the equation, we get, v = 35.5 m/s

Given the acceleration and distance traveled by the car, we can use the second equation to determine the time of travel as:

`115 = 0 xx t + 1/2 xx 5.48 xx t^2`

`or, t = sqrt((2 xx 115)/5.48)`

`or, t = 6.48 sec`

Thus, we can use the equations of motion to determine the unknown variables.

Hope this helps.