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An object is moving at constant speed around a horizontal circle of radius r. At a particular instant of time ti, the acceleration a1 = (-8.001 - 3.00k) m/s2, and at a later time to, the acceleration a2 = (3.001 - 8.00k) m/s2. Here, t1 = 5.00 s and t2 = 9.00 s. Note that the path of the object is in the x-z plane. We use a coordinate system with the +x axis to the right, +z axis vertically down, and +y axis coming toward you. (a) What is the period of rotation of the particle if it is moving in the clockwise direction? (b) What is the period of rotation of the particle if it is moving in the counterclockwise direction? (c) Find the radius of the path for the two cases indicated in parts (a) and (b). clockwise E counterclockwise E