Vhen we speak of velocity, we usually mean instantaneous velocity, which indicates the speed and irection of an object at a particular moment. The idea of instantaneous velocity makes intuitive sense, but are is required to define it precisely. Consider an object traveling in a straight line (linear motion). The average velocity over a given time nterval has a straightforward definition as the ratio change in position Average Velocity : length of time interval or example, if an automobile travels 200 km in 4 hours, then its average velocity during this 4-hour eriod is 200 = 50 km/h. At any given moment the automobile may be going faster or slower than the 4 verage. Question 2.1 Average Velocity Progress Check What is the average velocity (in kilometers per hour, or km/h) of an automobile that travels 30 km in 20 minutes? A. 90 km/h B. 15 kmh С. 60 km/h Submit Ve cannot define instantaneous velocity as a ratio in the same way because we would have to divide by
Vhen we speak of velocity, we usually mean instantaneous velocity, which indicates the speed and irection of an object at a particular moment. The idea of instantaneous velocity makes intuitive sense, but are is required to define it precisely. Consider an object traveling in a straight line (linear motion). The average velocity over a given time nterval has a straightforward definition as the ratio change in position Average Velocity : length of time interval or example, if an automobile travels 200 km in 4 hours, then its average velocity during this 4-hour eriod is 200 = 50 km/h. At any given moment the automobile may be going faster or slower than the 4 verage. Question 2.1 Average Velocity Progress Check What is the average velocity (in kilometers per hour, or km/h) of an automobile that travels 30 km in 20 minutes? A. 90 km/h B. 15 kmh С. 60 km/h Submit Ve cannot define instantaneous velocity as a ratio in the same way because we would have to divide by
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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Transcribed Image Text:2.1.1 Velocity
When we speak of velocity, we usually mean instantaneous velocity, which indicates the speed and
direction of an object at a particular moment. The idea of instantaneous velocity makes intuitive sense, but
care is required to define it precisely.
Consider an object traveling in a straight line (linear motion). The average velocity over a given time
interval has a straightforward definition as the ratio
change in position
Average Velocity
length of time interval
For example, if an automobile travels 200 km in 4 hours, then its average velocity during this 4-hour
period is
4
200
= 50 km/h. At any given moment the automobile may be going faster or slower than the
average.
Question 2.1 Average Velocity Progress Check
What is the average velocity (in kilometers per hour, or km/h) of an automobile that travels 30 km in 20
minutes?
A. 90 km/h
В. 15 kmh
С. 60 km/h
Submit
We cannot define instantaneous velocity as a ratio in the same way because we would have to divide by
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