A video camera is stationed 50 feet from a road that is part of a parade route t

Question

A video camera is stationed 50 feet from a road that is part of a parade route to film the passing parade. Assume the parade floats are traveling the route towards the camera at a speed of 15 mi/hr. (a) At what rate must the camera rotate to follow the parade floats when they are 25 feet from the point P on the road closest to the camera? At the instant they pass point P? (b) At what rate must the camera's focus adjust to film the floats clearly (that is, at what rate does the distance from the flat to the camera change) when the floats are 200 feet from point P? When they are 50 feet from point P? The Answers must be in Radians/Second for Part (a)

Explanation / Answer

a)15 mi/hr=6.7056 m/s and 25 feet=7.62 m so rate of camera rotating is =6.7056/7.62

b)200 feet=60.96m so rate of camera rotating is =6.7056/60.96m

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