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10-133.

A very fast bug is walking counterclockwise around the edge of a circular table with a radius of feet. At time she starts at the point and walks at a rate of ft/s.

  1. Explain why the angle at which the bug has traveled to her position after second is radian.

    Compare the circumference of the circle to the given rate.

  2. Explain why the angle through which the bug has traveled to her position after seconds is radians.

  3. Explain why the -coordinate of the bug is after seconds.

    Since the radius of the circle is , the -coordinate of any point on the circle is .

  4. What is the -coordinate of the bug after t seconds?

  5. Model the motion of the bug with a set of parametric equations.