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If the height (in meters) of an object traveling vertically is represented by the function where is measured in seconds, determine its:

  1. Starting velocity

    Evaluate when .

  2. Starting position

    Evaluate when

  3. Maximum height

    Since the height function is a parabola, the maximum height can be determined by using Algebra to locate the vertex. Calculus can also be used.

    The maximum height will occur at the time when .

    The vertex of the parabola is located at seconds.