Chapter 2, Problem 36P

A car moves along an x axis through a distance of 900 m, starting at rest (at x = 0) and ending at rest (at x = 900 m). Through the first ${}^{\frac{1}{4}}$ of that distance, its acceleration is +2.25 m/s². Through the rest of that distance, its acceleration is −0.750 m/s². What are (a) its travel time through the 900 m and (b) its maximum speed? (c) Graph position x, velocity v, and acceleration a versus time t for the trip.