Understanding the Problem

* Initial velocity (u): 0 m/s (starts from rest)

* Acceleration (a): 5 m/s²

* Distance (s): 160 m

* Time (t): We need to find this.

Equation of Motion

We can use the following equation:

* s = ut + (1/2)at²

Solving for Time

1. Substitute the values:

160 = (0)(t) + (1/2)(5)(t²)

2. Simplify:

160 = (2.5)t²

3. Solve for t²:

t² = 160 / 2.5 = 64

4. Find t:

t = √64 = 8 seconds

Answer: The car takes 8 seconds to cover the first 160 meters.