As a cheetah runs, its velocity is given by
Sketch a graph of the cheetah’s velocity.
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 the cheetah need to run to catch its prey? Describe your method.
Use geometry to approximate the area under the curve.
There are other valid geometric methods.
Annalou the Antelope standing
feet north of the Great Pond. The cheetah spots Annalou and runs south 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?