The Moon orbits the Earth in an approximately circular path. The velocity of the moon as a function of time is given by: V = -v sin(wt) Vy = v cos(wt) where v = 945 m/s and w = 2.46 x 10-6 radians/s. What is the average acceleration of the Moon over the following time intervals? For each, give the magnitude and direction as an angle measured counterclockwise from the positive x-axis. (a) from t = 0 to t = 0.200 days m/s? o counterclockwise from the +x-axis magnitude direction (b) from t = 0 to t = 0.0020 days m/s2 ° counterclockwise from the +x-axis magnitude direction

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The Moon orbits the Earth in an approximately circular path. The velocity of the moon as a function of time is given by:
vx     =     −v sin(?t)
vy     =     v cos(?t)
where v = 945 m/s and ? = 2.46  10-6 radians/s.

What is the average acceleration of the Moon over the following time intervals? For each, give the magnitude and direction as an angle measured counterclockwise from the positive x-axis.
(a) from t = 0 to t = 0.200 days
magnitude ______m/s2
direction ______° counterclockwise from the +x-axis

(b) from t = 0 to t = 0.0020 days
magnitude ______m/s2
direction ______° counterclockwise from the +x-axis

The Moon orbits the Earth in an approximately circular path. The velocity of the moon as a function of time is given by:
Vx = -v sin(wt)
= v cos( wt)
where v = 945 m/s and w = 2.46 x 10-6 radians/s.
What is the average acceleration of the Moon over the following time intervals? For each, give the magnitude and direction as an angle measured counterclockwise from the positive x-axis.
(a) from t = 0 to t = 0.200 days
m/s?
° counterclockwise from the +x-axis
magnitude
direction
(b) from t = 0 to t = 0.0020 days
magnitude
m/s²
° counterclockwise from the +X-axis
direction
Transcribed Image Text:The Moon orbits the Earth in an approximately circular path. The velocity of the moon as a function of time is given by: Vx = -v sin(wt) = v cos( wt) where v = 945 m/s and w = 2.46 x 10-6 radians/s. What is the average acceleration of the Moon over the following time intervals? For each, give the magnitude and direction as an angle measured counterclockwise from the positive x-axis. (a) from t = 0 to t = 0.200 days m/s? ° counterclockwise from the +x-axis magnitude direction (b) from t = 0 to t = 0.0020 days magnitude m/s² ° counterclockwise from the +X-axis direction
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