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The Moon orbits the Earth in an approximately circular path. The position of the Moon as...

The Moon orbits the Earth in an approximately circular path. The position of the Moon as a function of time is given by

x(t) = r cos(ωt)

y(t) = r sin(ωt),

where r = 3.84 10^8 m and ω = 2.46 10^-6 radians/s. What is the average velocity of the Moon measured over the interval from t = 0 to t = 3.54 days? Find its magnitude, in m/s, and find its direction, given as an angle measured counterclockwise from the positive x-axis.

magnitude _____m/s

direction _____° counterclockwise from the +x-axis

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