#5. Suppose a car is driving around a circular track with radius 200 meters. If the linear velocity function is v(t)=53cost t all times (Hint: a cosine 3) Explain mathematically how we know that the car is only moving forward a always outputs a number between 1 and 1). b) At time 4.00 seconds, is the car speeding up or slowing down? How do you know? Answer: Explanation: Draw the total acceleration vector (NOT angular) (careful... you need to combine the centripetal and tangential into ONE vector). Draw on the picture on the right. d) What is the angular velocity function? tit Using the symbols 8) (into page) and CD (out of page), indicate the directions of a and to. Make sure to label each with a blue pen. Find the first two positive times when the angular acceleration is 0. Write your answer to the neares hundredth ofa second