Motion of the Moon about Earth Observe the position and phase of the moon on sev

Question

Motion of the Moon about Earth Observe the position and phase of the moon on several days in succession and do so at regularly chosen times during the day and evening. (It is best, if possible, to choose a point near the first quarter of the moon's cycle when the moon is visible in the afternoon and evening. a. Sketch the shape of the moon on each successive day. Does this shape change for different times in the same day? Consider the motion of the moon about the earth, the rotation of the earth and the motion of the earth about the sun. Use this information to explain your observations. b. Devise a method for accurately noting changes in the position of the moon at a set time, say 10 o'clock p.m. on successive days. Note that a fixed sighting point, a meter stick and a protractor may be useful. Describe your technique. c. Using your technique, determine how much the position of the moon changes from one day to the next at your regularly chosen time. GPS Data Analysis An experimental aircraft begins its takeoff at t 0 s. Every second, an onboard GPS measures and records the plane's distances East and North of a reference marker. The data shown below are downloaded to your computer. Analyze these data to determine the magnitude of the aircraft's takeoff acceleration. Time (seconds) East (meters) |North (meters) 91 86 0 65 39 19 18 39 63 101

Explanation / Answer

GPS data analysis

a. given data

time East North

0 91 0

1 86 14

2 77 18

3 65 39

4 39 63

5 19 101

now to find takeoff acceleration

we find out Veast , Vnorth bu subtracting succesive coordinates and dividing by 1 s, and then plot the graph of the V vs t, and find its slope

hence

from using the above approach in excel

we get the following acceleration

acceleration in east direction = -4.7 m/s/s

acceleration in north direction = 6.8 m/s/s

hence

total acceleration of the plane while taking off = sqroot(4.7^2 + 6.8^2) = 8.266196 m/s/s

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