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

As a cheetah runs, its velocity is

Sketch a graph of

on your paper. 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?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 Methodft

There are other valid geometric methods.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 onlyfeet north of the pond. Where was the cheetah?