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11. Suppose that a particle moves along a straight line with acceleration defined by a(t) = t - 3, where 0 s t s 6

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11. Suppose that a particle moves along a straight line with acceleration defined by a(t) = t - 3, where 0 s t s 6 (in meters per second). Find the velocity and displacement at time t and the total distance traveled up to t = 6 if (0) = 3 and d(0) = 0. 12. A ball is thrown upward from a height of 3 m at an initial speed of 60 m/sec. Acceleration resulting from gravity is -9.8 m/sec. Neglecting air resistance, solve for the velocity v(t) and the height h(t) of the ball t seconds after it is thrown and before it returns to the ground. 13. Find the antiderivative using the indicated substitution (x - 1)(x2 - 2x) dx; u= x2 - 2x 14. Use a suitable change of variables to determine the indefinite integral. (sin xcos' xdx (Hint: sin x + cos x = 1)15. Use a suitable change of variables to determine the indefinite integral. 12cos2 (+3)sin(t) )dt

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