It takes Earth 365 days to complete one orbit around our sun. Knowing that the magnitude of the average acceleration the Earth experiences over half an orbit is 3.78 x 10^-3 m/s^2, what is the average speed with which it travels? Express your answer in m/s.

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  1. a = v^2/R = 3.78 *10^-3
    2 pi R = v T = v (365d * 24 h/d * 3600 s/h)
    R = 5.02*10^6 seconds * v
    3.78*10^-3 = v^2 / (5.02*10^6 v)
    v = 3.78 * 5.02 * 10^3 = 18,976 meters/second

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