1. The problem statement, all variables and given/known data The velocity of the Moon relative to the center of the Earth can be approximated by varrowbold(t) = v [−sin (ωt) xhatbold + cos (ωt) yhatbold], where v = 945 m/s and ω = 2.46 multiplied by 10−6 radians/s. (The time required for the Moon to complete one orbit is 29.5 days.) To approximate the instantaneous acceleration of the Moon at t = 0, calculate the magnitude and direction of the average acceleration during the following two time intervals. (a) between t = 0 and t = 0.400 days ______ m/s ______ degrees (counterclockwise from the +x axis) (b) between t = 0 and t = 0.0040 days _____ m/s _____ degrees (counterclockwise from the +x axis) 2. Relevant equations aav = delta v / delta t ax = delta vx / delta t ay = delta vy / delta t magnitude = sqroot (ay^2 + ax^2) theta = tan-1 (ay / ax) 3. The attempt at a solution I got the magnitudes of both at 0.00233 m/s. I am having trouble finding the directions though. I just used ax = delta vx / delta t and ay = delta vy / delta t to find the values of ax and ay, then I subbed these numbers into this eqn: magnitude = sqroot (ay^2 + ax^2). My answer for the direction in part (a) was 2.43558 degrees... which is wrong. Can anyone think of a better way to do this problem?