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Problem 12-48: Engineering Mechanics- Dynamics (Hibbeler 14th Edition)

Engineering Mechanics Dynamics · R.C. Hibbeler · Chapter 12

Course: Engineering Mechanics Dynamics Book: R.C. Hibbeler Chapter: Chapter 12

Question

A race car starts from rest and travels along a straight road until it reaches a speed of 26 m/s in 8 s. The $v$–$t$ graph consists of three segments: $$v = \begin{cases} 3.5t & 0 \leq t < 4 \text{ s} \\ 14 & 4 \text{ s} \leq t \leq 5 \text{ s} \\ 4t - 6 & 5 \text{ s} < t \leq 8 \text{ s} \end{cases} \quad (\text{m/s})$$ Draw the $a$–$t$ graph and determine the maximum acceleration of the car.

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