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Directions: Solve the following problems. Show your work for full credit. Include units in your calculations, and explain your reasoning in your solutions. 1) A top spins counterclockwise as viewed from above with an initial angular speed of 7.5 revolutions per second. It comes to a stop and falls down after 42 s. a. What is the magnitude and direction (up or down?) of its initial angular velocity (in rad/s)? b. What is the magnitude and direction of its angular acceleration (assumed to be constant)? c. What is the magnitude and direction of its angular displacement during the whole spinning process