The problem that follow involve straight-line motion. The time t is in seconds unless otherwise stated.
Problem
When t = 0, the position of a point is s = 6 m, and its velocity is v = 2 m/s. From t = 0 to t = 6 s. the acceleration of the point is a = 2 + 2t2 m/s2. From t = 6 s until it comes to rest, its acceleration is a = –4 m/s2.
(a) What is the total time of travel?
(b) What total distance does the point move?
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