Answer:
The distance traveled by the car is 29.25 meters
Explanation:
The distance traveled by the car can be determine by means of the equations for a Uniformly Accelerated Rectilinear Motion:
[tex]d = v_{0}t + \frac{1}{2}at^{2}[/tex] (1)
Where [tex]v_{0} = 0[/tex] is the initial velocity, a is the acceleration and t is the time.
Since the car starts from rest, its initial velocity will be zero ([tex]v_{0} = 0[/tex]):
[tex]d = \frac{1}{2}(6.50 m/s^{2})(3.00 s)^{2}[/tex]
[tex]d = 29.25 m[/tex]
So the distance traveled by the car is 29.25 meters.