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A camera is set up at the starting line of a drag race 50 ft from a dragster at the starting line (camera 1 in

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A camera is set up at the starting line of a drag race 50 ft from a dragster at the starting line (camera 1 in the figure). Two seconds after the start of the race, the dragster has traveled 150 ft and the camera is turning at 0.3 rad/s while filming the dragster. Answer parts a. and b. below. -Starting line Camera 2 Camera ] Dragster 50 At _100 At a. Write an equation relating the distance the dragster has traveled, b, to the angle 0 through which camera 1 has turned to film it. b tan 0= - 50 Differentiate both sides of the equation with respect to t. at 50 sec 20 What is the speed of the dragster at this point? The speed of the dragster is (Type an integer or a decimal.) b. A second camera (camera 2 in the figure) filming the dragster is located on the starting line 100 ft away from the dragster at the start of the race. How fast is this camera turning 2 s after the start of the race? This camera is turning at a rate of (Round to three decimal places as needed.)

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