SOLUTION: The position function of a particle in rectilinear motion is given by s(t) = 2t^3 + 21t^2 + 60t + 3 for t ≥ 0 with t measured in seconds and s(t) measured in feet. Find the p
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-> SOLUTION: The position function of a particle in rectilinear motion is given by s(t) = 2t^3 + 21t^2 + 60t + 3 for t ≥ 0 with t measured in seconds and s(t) measured in feet. Find the p
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Question 1091527: The position function of a particle in rectilinear motion is given by s(t) = 2t^3 + 21t^2 + 60t + 3 for t ≥ 0 with t measured in seconds and s(t) measured in feet. Find the position and acceleration of the particle at the instant when the particle reverses direction. Include units in your answer. Found 2 solutions by Boreal, ikleyn:Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! Could you check this problem? The function is increasing for any t >=0. If t were -2t^3, it would have a maximum point. Stated another way, the derivative, a quadratic, has no real roots, and the second derivative gives a negative value for t.
