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Math Help - Creating a function by expressing distance above the ground

  1. #1
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    Creating a function by expressing distance above the ground

    Thy Highness, it's me again.

    The word problem reads: Suppose a baseball is shot up from the ground straight up with an initial velocity of 32 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t.
    Please help! Thanks
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  2. #2
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    Quote Originally Posted by fw_mathis View Post
    Thy Highness, it's me again.

    The word problem reads: Suppose a baseball is shot up from the ground straight up with an initial velocity of 32 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t.
    Please help! Thanks
    The general formula (on Earth) is:
    h(t)=-16t^2+v_0t+h_0
    Where,
    v_0 is intial velocity, in this case, 32 feet/second.
    h_0 is initial height, in this case 0 feet because it is from ground level.

    Thus,
    h(t)=-16t^2+32t
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