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Math Help - free fall

  1. #1
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    free fall

    At time t = 0 s, apple 1 is dropped from a bridge onto a roadway beneath the bridge; somewhat later, apple 2 is thrown down from the same height. Figure 2-25 gives the vertical positions y of the apples versus t during the falling, until both apples have hit the roadway. With approximately what speed is apple 2 thrown down?
    Last edited by mr fantastic; September 1st 2009 at 12:38 AM.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by BiGpO6790 View Post
    [IMG]file:///C:/Users/Nick/AppData/Local/Temp/moz-screenshot-3.jpg[/IMG]At time t = 0 s, apple 1 is dropped from a bridge onto a roadway beneath the bridge; somewhat later, apple 2 is thrown down from the same height. Figure 2-25 gives the vertical positions y of the apples versus t during the falling, until both apples have hit the roadway. With approximately what speed is apple 2 thrown down?
    Take the origin to be the release point, and y positive downwards.

    The time it takes the first apple to reach the roadway tells you how high the roadway is. Since for this the distance from the release point is:

    y=gt^2/2

    and we know that t=2 seconds when y is the bridge height.

    For the second apple we know that the time to hit the road is 1.25 seconds. The apples distance from the release point is:

    y=gt^2/2 + v_0t

    where t is the time from release of the second apple.

    As we know the height of the bridge we set this to y, and the time of fall which we set to t we can now solve for the speed with which the apple is thrown down v_0

    CB
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