An 80-year-old athlete has his speed in km/h modeled by the function f(t) = -t^2 + 16t, where t is the time in minutes. What is the maximum speed that the runner reaches? How long does it take for him to stop? Sketch the graph.
An 80-year-old athlete has his speed in km/h modeled by the function f(t) = -t^2 + 16t, where t is the time in minutes. What is the maximum speed that the runner reaches? How long does it take for him to stop? Sketch the graph.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
An 80-year-old athlete has his speed in km/h modeled by the function
f(t) = -t^2 + 16t, where t is the time in minutes. What is the maximum
speed that the runner reaches? How long does it take for him to stop?
Sketch the graph.
Expert Solution
Step 1
An 80-year-old athlete has his speed in km/h modeled by the function
, where t is the time in minutes.
To find what is the maximum speed that the runner reaches?
To find how long does it take for him to stop?
To sketch the graph.
Step by step
Solved in 2 steps with 1 images
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