Question

-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  10⁸ 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 = 3.35 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

-A space probe approaches a planet and goes into a low orbit. If the orbiting probe's velocity is

vx	=	−v sin(ωt),
vy	=	v cos(ωt),
v	=	7.57  103 m/s,
ω	=	1.16  10-3 radians/s,

what is the average magnitude of acceleration of the probe, in m/s², if it remains in orbit for 22 minutes? answer in m/s

Answer 1