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3 April, 06:08

Near the surface of the moon, the distance that an object falls is a function of time. It is given by d (t) = 2.6667t2, where t is in seconds and d (t) is in feet. If an object is dropped from a certain height, find the average speed of the object from t = 1 to t = 4. (Round your answer to the nearest whole number.)

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  1. 3 April, 06:12
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    averaage speed is v = 13 feet / s

    Explanation:

    The average speed is the ratio of the distance traveled in a given time interval, let's calculate the distance that the body travels in the two instants of time that give us

    t = 1 s

    d (1) = 2.6667 1²

    d (1) = 2.6667 feet

    t = 4 s

    d (4) = 2.6667 4²

    d (4) = 42.6672 feet

    Let's calculate the speed

    v = Δx / Δt

    v = (42.6672 - 2.6667) / (4-1)

    v = 40/3

    v = 13.33335 feet / s

    v = 13 feet / s
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