Solved: A car moves along an x axis through a distance of

Chapter 2, Problem 36

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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 \(+2.25 \mathrm{m} / \mathrm{s}^{2}\). Through the rest of that distance, its acceleration is \(-0.750 \mathrm{m} / \mathrm{s}^{2}\). 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 for the trip.

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