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Math Help - Help with Vertical Motion Problem

  1. #1
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    Help with Vertical Motion Problem

    The problem is "A ball is thrown vertically upward from ground level with an initial velocity of 96ft per second. Assume acceleration of -32 ft/sec^2.

    1) After how many seconds is the velocity of the ball one-half the initial velocity?
    2) What is the height of the ball when the velocity is one-half the initial velocity?
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  2. #2
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    Re: Help with Vertical Motion Problem

    Start by writing an expression for the velocity v(t) as a function of time. You should be able to get the answer to #1 from just that. Then if you integrate the velocity \int v(t)\,dt, that should give you the position s(t) as a function of time. There will be a constant of integration, which you can evaluate by observing that s(0)=0.

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