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Math Help - Quadratic Function that Models Height

  1. #1
    Senior Member nycmath's Avatar
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    Quadratic Function that Models Height

    A rocket is launched in the air from the ground and is 100 ft high after 1 second. After 2 seconds it is 280 ft high. Which of the following is the quadratic function that models its height h(t) after t seconds?

    a...h(t)= 60t^2+40t
    b.. h(t)=40t^2 + 60t
    c...h(t)= 60t^2-40t
    d...h(t)= 40t^2-60t

    I am not looking for simply the answer. I want to you how to find it from the list provided.
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    Re: Quadratic Function that Models Height

    Hello, nycmath!

    A rocket is launched in the air from the ground and is 100 ft high after 1 second.
    After 2 seconds, it is 280 ft high.
    Which of the following is the quadratic function that models its height h(t) after t seconds?

    . . \begin{array}{c}(a)\;h(t)\:=\:60t^2+40t \\ \\[-4mm] (b)\;h(t)\:=\:40t^2 + 60t \\ \\[-4mm] (c)\;h(t)\:=\: 60t^2-40t \\ \\[-4mm]  (d)\; h(t)\:=\: 40t^2-60t \end{array}

    We are told that: . h(1) = 100,\;h(2) = 280

    Determine which of the functions produces those values.
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    Re: Quadratic Function that Models Height

    This is an arithmetic problem! Set t= 1 and t= 2 and calculate the values.
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    Re: Quadratic Function that Models Height

    Quote Originally Posted by nycmath View Post
    A rocket is launched in the air from the ground and is 100 ft high after 1 second. After 2 seconds it is 280 ft high. Which of the following is the quadratic function that models its height h(t) after t seconds?

    a...h(t)= 60t^2+40t
    b.. h(t)=40t^2 + 60t
    c...h(t)= 60t^2-40t
    d...h(t)= 40t^2-60t

    I am not looking for simply the answer. I want to you how to find it from the list provided.
    If you are thinking there may be a more physical way to solve this (hey, it's a height vs. time problem after all) there isn't one. The accelerations aren't physical, at least near the Earth anyway.

    -Dan
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  5. #5
    Senior Member nycmath's Avatar
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    Re: Quadratic Function that Models Height

    I can take it from here. Thanks.
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