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Problem 3. (20 points) A ceiling fan has I'm long blades and on high speed can make 10 revolutions per second. After the fan is turned on, it accelerates at a uniform rate for 10 s before reaching its maximum speed and rotating with constant velocity. (a) Find the distance traveled by a point at the end of the blade during the time that the fan is accelerating. (b) Make plots of 0, w and a for the first 20 seconds after the fan is turned on. You may assume the fan rotates counterclockwise. 3 0) 314 m