Posted by **Anmol** on Saturday, October 15, 2011 at 2:11am.

Relative to the center of the Earth, the position of the Moon can be approximated by (t) = r [cos (ωt) + sin (ωt) ], where r = 3.84 108 m and ω = 2.46 10-6 radians/s.

(a) Find the magnitude and direction of the Moon's average velocity between t = 0 and t = 3.12 days. (This time is one-quarter of the 29.5 days it takes the Moon to complete one orbit.)

(b) Is the instantaneous speed of the Moon greater than, less than or the same as the average speed found in part (a)? Explain.

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