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29 August, 23:50

An arrow is shot upward from the roof of a building 75 m high with an initial speed of 40 m/s. If g = 10 m/s2, what total distance has it traveled after 6 seconds?

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  1. 29 August, 23:53
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    60m

    Explanation:

    According to one of the equation of motions, v² = u²+2as where;

    S is the distance

    u is the initial velocity

    v is the final velocity

    a is the acceleration

    Since the arrow is shot upwards, the body will experience a negative acceleration due to gravity i. e a = - g

    Therefore our equation will become;

    v² = u² - 2gS

    Given u = 40m/s, g = 10m/s², S = 75m

    Substituting to get the final velocity of the arrow we will have;

    v² = 40²-2 (10) (75)

    v² = 1600 - 1500

    v² = 100

    v = √100

    v = 10m/s

    Total distance traveled is speed of the object * time taken

    Total distance traveled = 10 * 6

    = 60m

    The arrow has therefore traveled 60m after 6seconds
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