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The graph shows the velocity v(t) of an object. 4 3 2 1 0 1 O 13.5 O 14.5 O 15 2 3 O 15.5 4 V(t) 5 6 7 Calculate the object's displacement between [2, 8]. 8 00 9 10

The graph shows the velocity v(t) of an object. 4 3 2 1 0 1 O 13.5 O 14.5 O 15 2 3 O 15.5 4 V(t) 5 6 7 Calculate the object's displacement between [2, 8]. 8 00 9 10

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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The graph shows the velocity \( v(t) \) of an object. ![Graph of velocity against time](url) In the graph, the horizontal axis (t) represents time in seconds, ranging from 1 to 10, and the vertical axis (v(t)) represents velocity in meters per second, ranging from 0 to 4. ### Segment Analysis of the Graph: 1. From \( t = 1 \) to \( t = 3 \), the velocity \( v(t) \) increases linearly from 1 m/s to 3 m/s. 2. From \( t = 3 \) to \( t = 5 \), the velocity \( v(t) \) remains constant at 3 m/s. 3. From \( t = 5 \) to \( t = 7 \), the velocity \( v(t) \) remains constant at 3 m/s. 4. From \( t = 7 \) to \( t = 8 \), the velocity \( v(t) \) decreases linearly from 3 m/s to 2 m/s. 5. From \( t = 8 \) to \( t = 10 \), the velocity \( v(t) \) remains constant at 1 m/s. ### Question: Calculate the object's displacement between \( [2, 8] \). ### Options: 1. \( 13.5 \) 2. \( 14.5 \) 3. \( 15 \) 4. \( 15.5 \)
Transcribed Image Text:The graph shows the velocity \( v(t) \) of an object. ![Graph of velocity against time](url) In the graph, the horizontal axis (t) represents time in seconds, ranging from 1 to 10, and the vertical axis (v(t)) represents velocity in meters per second, ranging from 0 to 4. ### Segment Analysis of the Graph: 1. From \( t = 1 \) to \( t = 3 \), the velocity \( v(t) \) increases linearly from 1 m/s to 3 m/s. 2. From \( t = 3 \) to \( t = 5 \), the velocity \( v(t) \) remains constant at 3 m/s. 3. From \( t = 5 \) to \( t = 7 \), the velocity \( v(t) \) remains constant at 3 m/s. 4. From \( t = 7 \) to \( t = 8 \), the velocity \( v(t) \) decreases linearly from 3 m/s to 2 m/s. 5. From \( t = 8 \) to \( t = 10 \), the velocity \( v(t) \) remains constant at 1 m/s. ### Question: Calculate the object's displacement between \( [2, 8] \). ### Options: 1. \( 13.5 \) 2. \( 14.5 \) 3. \( 15 \) 4. \( 15.5 \)
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