Understanding the Concepts

* Initial Velocity (u): The car starts from rest, so its initial velocity is 0 m/s.

* Acceleration (a): The car accelerates at 2.6 m/s².

* Time (t): The car accelerates for 6.4 seconds.

* Distance (s): We need to find the distance traveled.

Using the Equation of Motion

We can use the following equation of motion to find the distance:

s = ut + (1/2)at²

Plugging in the Values

* s = (0 m/s)(6.4 s) + (1/2)(2.6 m/s²)(6.4 s)²

* s = 0 + (1.3 m/s²)(40.96 s²)

* s = 53.25 m

Answer:

The car travels 53.25 meters during its acceleration.