A car starts form rest and accelerates uniformly for `10 s` to a velocity of `8 ms ^(-1)`. It then runs at a constant velocity an dis finally brought to rest in `64 m` with a constant retardation. The totla distance covered by the car is `584 m` Find the value of acceleration, retardation, and totl time taken.

Explanation

To solve the problem step by step, we will break it down into parts based on the motion of the car.

### Step 1: Find the acceleration
The car starts from rest and accelerates uniformly for 10 seconds to a velocity of \(8 \, \text{m/s}\).

Using the formula for acceleration:
\[
v = u + at
...