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Math Help - Modeling

  1. #1
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    I need help with Modeling

    This is a word problem and I have no clue how to solve it.

    Mt. Thor in Canada is said to have the longest vertical drop(4100 ft.) on Earth. How long would it take for a pebble dropped off the cliff to reach the ground? (Hint: The height of a falling object above the ground t seconds after it is dropped can be modeled by s(t) = -16t^2 + So where So is the initial height.)
    Last edited by tracieemra72; April 14th 2013 at 02:16 PM.
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  2. #2
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    The S is height and t is seconds.
    Last edited by tracieemra72; April 14th 2013 at 02:07 PM.
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  3. #3
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    Re: I need help with Modeling

    Quote Originally Posted by tracieemra72 View Post
    Mt. Thor in Canada is said to have the longest vertical drop(4100 ft.) on Earth. How long would it take for a pebble dropped off the cliff to reach the ground? (Hint: The height of a falling object above the ground t seconds after it is dropped can be modeled by s(t) = -16t^2 + So where So is the initial height.)
    S_0 = 4100 ft, s(t) = 0

    s(t) = -16t^2 + s_0

    s(t) - s_0 = -16t^2

    Can you finish from here?

    -Dan
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  4. #4
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    Re: Modeling

    thanks Dan. I have no clue where to go from here. When I entered it in my calculator I came up with S(16)=4 S= 16 secs. with 4 being the So? I have to find out how many seconds it would take for the pebble to be dropped from 4100 ft to hit the ground. I have never done a problem like this nor do I know how to figure it out.
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  5. #5
    Forum Admin topsquark's Avatar
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    Re: I need help with Modeling

    Quote Originally Posted by topsquark View Post
    S_0 = 4100 ft, s(t) = 0

    s(t) = -16t^2 + s_0

    s(t) - s_0 = -16t^2
    Plug the numbers in:
    0 - 4100 = -16t^2

    \frac{4100}{16} = t^2

    Surely you can finish it now?

    -Dan
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