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In our previous activity, we used the ideas of Riemann sums to find distar traveled given a velocity v(t). It is true that v(t) dt represents the distance trave from t = a to t = b, but it is actually rare to know v(t), the velocity as a function time. What we do often have is data. Use the data and the ideas of Riemann sums approximate the total distance traveled: time (s) 0.0 0.2 0.4 0.6 velocity (m/s) 12 13.1 13.7 13.5

In our previous activity, we used the ideas of Riemann sums to find distar traveled given a velocity v(t). It is true that v(t) dt represents the distance trave from t = a to t = b, but it is actually rare to know v(t), the velocity as a function time. What we do often have is data. Use the data and the ideas of Riemann sums approximate the total distance traveled: time (s) 0.0 0.2 0.4 0.6 velocity (m/s) 12 13.1 13.7 13.5

Calculus: Early Transcendentals
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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How would I approximate total distance using data and reimann sums
In our previous activity, we used the ideas of Riemann sums to find distance traveled given a velocity v(t). It is true that v(t) dt represents the distance traveled from t = a to t = b, but it is actually rare to know v(t), the velocity as a function of time. What we do often have is data. Use the data and the ideas of Riemann sums to approximate the total distance traveled: time (s) 0.0 0.2 0.4 0.6 velocity (m/s) 12 13.1 13.7 13.5
Transcribed Image Text:In our previous activity, we used the ideas of Riemann sums to find distance traveled given a velocity v(t). It is true that v(t) dt represents the distance traveled from t = a to t = b, but it is actually rare to know v(t), the velocity as a function of time. What we do often have is data. Use the data and the ideas of Riemann sums to approximate the total distance traveled: time (s) 0.0 0.2 0.4 0.6 velocity (m/s) 12 13.1 13.7 13.5
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