To find the final velocity of the car, we can use the equation of motion:
v = u + at
Where: v is the final velocity, u is the initial velocity (which is 0 m/s as the car starts from rest), a is the acceleration (5 m/s²), t is the time (15 minutes).
First, let's convert the time from minutes to seconds:
15 minutes = 15 × 60 = 900 seconds
Now we can substitute the values into the equation:
v = 0 + (5 m/s²) × (900 s) v = 0 + 4500 m/s v = 4500 m/s
Therefore, the final velocity of the car after running for 15 minutes at an acceleration of 5 m/s² is 4500 m/s.