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Home > CALC > Chapter 1 > Lesson 1.4.4 > Problem 1-184


As a cheetah runs, its velocity is  where is measured in feet per second.

  1. Sketch a graph of on your paper.

  2. Approximately how fast is the cheetah running at second? How did you get your answer?

    This is a velocity function. So, what is the value at ?

  3. To catch prey, such as an antelope, the cheetah runs for seconds. Approximately how far does it need to run to catch its prey? Describe your method.

    Use geometry to approximate the area under the curve.

    Trapezoid Method ft
    Midpoint Method ft
    There are other valid geometric methods.

  4. If the cheetah spots Annalou the Antelope standing feet north of the Great Pond and runs north in a direct line towards her, catching her in exactly seconds, what was the cheetah's initial position relative to the pond?

    Your answer in part (c) is an approximation of how far the cheetah traveled in seconds. At , Annalou was only feet north of the pond. Where was the cheetah?