Understanding the Concepts

* Initial Velocity (u): The car starts from rest, so u = 0 m/s.

* Acceleration (a): The car accelerates at a constant rate of 1.5 m/s².

* Time (t): The car accelerates for 5.9 seconds.

* Distance (s): This is what we need to find.

Equation of Motion

The appropriate equation of motion to use is:

s = ut + (1/2)at²

Calculations

1. Substitute the values:

s = (0 m/s)(5.9 s) + (1/2)(1.5 m/s²)(5.9 s)²

2. Simplify:

s = 0 + (0.75 m/s²)(34.81 s²)

3. Calculate:

s ≈ 26.11 m

Answer

The car travels approximately 26.11 meters during this time.