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As a log falls in a waterfall, its velocity is given by in feet per second. The position of the log at time  was at the top of the waterfall, feet above sea level.

  1. Where is the log after second? seconds? seconds?

    You need to find the position function, .

    Antidifferentiate .

    Solve for , by evaluating the given point .

    Check your work:

  2. Where is the log after seconds? This is the position function. What is its relationship to the velocity function?

    Refer to the hint in part (a).

Use the eTool below to visualize the problem.
Click the link at right for the full version of the eTool: Calc 4-138 HW eTool