The Velocity of the Moon The velocity of the Moon relative to the center of the Earth can...

The Velocity of the Moon The velocity of the Moon relative to the center of the Earth can be approximated by

where t is measured in seconds. To approximate the instantaneous acceleration of the Moon at t = 0, calculate the magnitude and direction of the average acceleration between the times (a) t = 0 and t = 0.100 days and (b) t = 0 and t = 0.0100 days. (The time required for the Moon to complete one orbit is 29.5 days.)