To calculate the distance traveled by the car during the 10-second interval, we can use the formula:
Distance = Initial Velocity × Time + (1/2) × Acceleration × Time²
In this case, the initial velocity (u) is 20 m/s, the final velocity (v) is 40 m/s, and the time (t) is 10 seconds. Since the problem statement does not provide the acceleration (a), we can find it by using the formula:
Acceleration = (Final Velocity - Initial Velocity) / Time
Substituting the given values:
Acceleration = (40 m/s - 20 m/s) / 10 s Acceleration = 20 m/s / 10 s Acceleration = 2 m/s²
Now, we can substitute the acceleration value into the distance formula:
Distance = 20 m/s × 10 s + (1/2) × 2 m/s² × (10 s)² Distance = 200 m + 1 m/s² × 100 s² Distance = 200 m + 100 m Distance = 300 meters
Therefore, the car traveled a distance of 300 meters during the 10-second interval.