Final answer:
The average acceleration of the motorcycle is 6.88 m/s². The motorcycle travels a distance of 52.19 meters in 3.90 seconds.
Step-by-step explanation:
The average acceleration of a motorcycle can be calculated by dividing the change in velocity by the change in time. In this case, the change in velocity is 26.8 m/s and the change in time is 3.90 s.
Using the formula: average acceleration = (final velocity - initial velocity) / time
Plugging in the values, we get: average acceleration = (26.8 m/s - 0 m/s) / 3.90 s = 6.88 m/s²
Therefore, the average acceleration of the motorcycle is 6.88 m/s².
To calculate the distance traveled by the motorcycle in that time, we can use the formula: distance = initial velocity * time + (1/2) * average acceleration * time²
Since the initial velocity is 0 m/s and the average acceleration is 6.88 m/s², and the time is 3.90 s, we can calculate:
distance = 0 m/s * 3.90 s + (1/2) * 6.88 m/s² * (3.90 s)² = 52.19 m
Therefore, the motorcycle travels a distance of 52.19 meters in 3.90 seconds.