To find the acceleration of the car, we can use the following formula:
acceleration = (final velocity - initial velocity) / time
Given: Initial velocity (u) = 13 m/s Final velocity (v) = 25 m/s Time (t) = 6.0 seconds
Substituting these values into the formula, we get:
acceleration = (25 m/s - 13 m/s) / 6.0 s acceleration = 12 m/s / 6.0 s acceleration = 2 m/s²
Therefore, the acceleration of the car is 2 m/s².
To calculate the distance traveled by the car, we can use the following formula:
distance = (initial velocity + final velocity) / 2 * time
Substituting the given values, we have:
distance = ((13 m/s + 25 m/s) / 2) * 6.0 s distance = (38 m/s / 2) * 6.0 s distance = 19 m/s * 6.0 s distance = 114 m
Hence, the car traveled a distance of 114 meters in this time.