The definite integral of the velocity function of an object gives you the total displacement—how far an object is from a point of origin. However, this is different from distance traveled. Let’s say you were going to the local market, which is about 1 mile from your house. The total ...
(b) To find the fraction of the total distance traveled at constant speed, we need to first find the distance traveled during the first and last 10 minutes of the trip. During the first 10 minutes, the acceleration is 15.0 m/s^2, so we can use the eq...