The problem that follow involve straight-line motion. The time t is in seconds unless otherwise stated.
Problem
The position of a point during the interval of time from t = 0 to t = 3 s is s = 12 + 5t2 – t3 ft.
(a) What is the maximum velocity during this interval of time, and at what time does it occur?
(b) What is the acceleration when the velocity is a maximum?
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