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The position vector for the moon as it moves around the Earth is approximately given by...

The position vector for the moon as it moves around the Earth is approximately given by ~r(t) = R cos 2πt P xˆ + R sin 2πt P y , ˆ (2) where R is the radius of the moon’s orbit and P is the period of the moon’s orbit. Find expressions for the moon’s velocity and acceleration as functions of time and draw (by hand is fine) position, velocity, and acceleration vectors for the moon at t = 0, t = P/4, and t = P/2. 1

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