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Home > PC3 > Chapter 13 > Lesson 13.3.5 > Problem 13-152


Sketch the velocity function given by for .

  1. Write an expression for the position from to any value of .

    The position function is the area under the curve of the velocity function.
    In this case, the area under the velocity curve is a triangle.

    area under

  2. Given the position expression from part (a), write an expression for the slope of the tangent line at any point .

  3. How is the expression in part (b) related to ?