To find the acceleration of the car, we can use the 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 the values into the formula, we get:
acceleration = (25 m/s - 13 m/s) / 6.0 s = 12 m/s / 6.0 s = 2 m/s²
Therefore, the acceleration of the car is 2 m/s².
To find the distance traveled by the car, we can use the formula:
distance = (initial velocity * time) + (0.5 * acceleration * time^2)
Substituting the values into the formula, we get:
distance = (13 m/s * 6.0 s) + (0.5 * 2 m/s² * (6.0 s)^2) = 78 m + 0.5 * 2 m/s² * 36 s² = 78 m + 36 m = 114 m
Therefore, the car traveled a distance of 114 meters in 6.0 seconds.