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Free Response Questions 10. Vertical Motion. The height of an object moving in a vertical line with constant acceleration is given by the position equation

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Free Response Questions 10. Vertical Motion. The height of an object moving in a vertical line with constant acceleration is given by the position equation s(t) = - at2 + vot + So . The height of the objects is measured in feet, t is measured in seconds, a is acceleration, and vo is the initial velocity, in feet per second at t = 0 and so is the initial height. When t = 1, s = 60, att = 2,s = 56, and when t = 3 s = 20. A. Write a system of equations to obtain the values of a, vo, and so. B. Solve the system of equations to find a position function that models the behavior of the object. C C. What is the maximum height the object obtains? D. Use a calculator to determine when the object hits the ground

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