Two toy racecars race along a circular race track. Both cars start at the 3-o'clock position and travel in the CCW direction. Let t represent the number of seconds since the start of the race. Imagine angles with terminal rays that pass through each car as it moves. Car A is constantly 4.5 feet from the center of the race track and travels a constant speed. The angle with a terminal ray passing through Car A sweeps out 2.5 radians per second. Write an expression (in terms of t) that represents Car A's vertical distance above the center of the race track in feet.

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Two toy racecars race along a circular race track. Both cars start at the 3-o'clock position and travel in the CCW direction. Let t represent the number of seconds since the start of the race. Imagine angles with terminal rays that pass through each car as it moves.

Car A is constantly 4.5 feet from the center of the race track and travels a constant speed. The angle with a terminal ray passing through Car A sweeps out 2.5 radians per second.

Write an expression (in terms of t) that represents Car A's vertical distance above the center of the race track in feet.

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