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# Starting from rest, a car takes T seconds to reach its

## Problem 2.29 Chapter 2

Physics for Scientists and Engineers: A Strategic Approach, Standard Edition (Chs 1-36) | 4th Edition

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Physics for Scientists and Engineers: A Strategic Approach, Standard Edition (Chs 1-36) | 4th Edition

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Problem 2.29

Starting from rest, a car takes T seconds to reach its cruising speed vmax. A plausible expression for the velocity as a function of time is vx1t2 = c vmax1 2t T - t 2 T2 2 t T vmax t T a. Demonstrate that this is a plausible function by drawing velocity and acceleration graphs. b. Find an expression for the distance traveled at time T in terms of T and the maximum acceleration a max. c. What are the maximum acceleration and the distance traveled for a car that reaches a cruising speed of 15 m/s in 8.0 s?

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