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5. (10 points) A particle moves along a straight line path in such a way that its acceleration at any time is given by a(t)

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5. (10 points) A particle moves along a straight line path in such a way that its acceleration at any time is given by a(t) = 2 + sint. If the initial velocity is v(0) = 0 and the initial displacement is s(0) - 0, find formulas for the velocity and displacement at any time t. local maximum or minimum? Explain 6. (10 points) a) Find the area of the region bounded by the curves: y = -x2 +6x -5 and y = 2x -5. () (2 points) On

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