Solved: Filming a race A camera is set up at the starting

Chapter 3, Problem 45

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QUESTION:

Filming a race 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 100 ft and the camera is turning at 0.75 rad>s while filming the dragster. a. What is the speed of the dragster at this point? 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 seconds after the start of the race? 100 ft 50 ft Camera 2 Camera 1 Starting line Dragster

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QUESTION:

Filming a race 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 100 ft and the camera is turning at 0.75 rad>s while filming the dragster. a. What is the speed of the dragster at this point? 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 seconds after the start of the race? 100 ft 50 ft Camera 2 Camera 1 Starting line Dragster

ANSWER:

Step 1 of 5

Consider the schematic diagram below,

                                                           

Here,  is the starting line. The dragster starts from point . The camera  is located at , and the camera  is located at . Let  and  be the angles turned by the camera  and camera , respectively.

According to the given problem,

                                                             

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