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Calculus 1, parametric equations?
The motion of a point on a bicycle wheel is described by the parametric equations below. A and B are positive constants. Time is measured in seconds and distance in meters (its a big wheel).
x(t) = At + cos(2t)
y(t) = B−sin(2t)
a. How long does it take for the wheel to make one revolution?
b. Use the fact that the y coordinate of the point is zero when it is at the bottom of the wheel to find the constant B.