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The graph below shows the velocity of an object (in ft/sec) as a function of time t (in seconds). Velocity (ft/s) 4 3 2 1 -1 -2 -3 4+ 1 = 2 3 4 5 6 Time (sec) Find the total displacement from t = 0 to t = 1: feet Displacement Find the total displacement from t = 1 to t = 8: Displacement = feet 7 -00 8

The graph below shows the velocity of an object (in ft/sec) as a function of time t (in seconds). Velocity (ft/s) 4 3 2 1 -1 -2 -3 4+ 1 = 2 3 4 5 6 Time (sec) Find the total displacement from t = 0 to t = 1: feet Displacement Find the total displacement from t = 1 to t = 8: Displacement = feet 7 -00 8

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 below shows the velocity of an object (in ft/sec) as a function of time \( t \) (in seconds). **Graph Details:** - **Axes:** - Horizontal Axis (Time \( t \) in seconds): Ranges from 0 to 8. - Vertical Axis (Velocity in ft/sec): Ranges from -4 to 4. - **Graph Description:** - At \( t = 0 \), velocity is 3 ft/sec. - From \( t = 0 \) to \( t = 1 \), velocity remains constant at 3 ft/sec. - From \( t = 1 \) to \( t = 2 \), velocity decreases linearly to 0 ft/sec. - From \( t = 2 \) to \( t = 3 \), velocity decreases linearly to -2 ft/sec. - From \( t = 3 \) to \( t = 5 \), velocity decreases linearly to -3 ft/sec. - From \( t = 5 \) to \( t = 8 \), velocity remains constant at -3 ft/sec. **Questions:** 1. Find the total displacement from \( t = 0 \) to \( t = 1 \): - Displacement = [_____ ] feet 2. Find the total displacement from \( t = 1 \) to \( t = 8 \): - Displacement = [_____ ] feet
Transcribed Image Text:The graph below shows the velocity of an object (in ft/sec) as a function of time \( t \) (in seconds). **Graph Details:** - **Axes:** - Horizontal Axis (Time \( t \) in seconds): Ranges from 0 to 8. - Vertical Axis (Velocity in ft/sec): Ranges from -4 to 4. - **Graph Description:** - At \( t = 0 \), velocity is 3 ft/sec. - From \( t = 0 \) to \( t = 1 \), velocity remains constant at 3 ft/sec. - From \( t = 1 \) to \( t = 2 \), velocity decreases linearly to 0 ft/sec. - From \( t = 2 \) to \( t = 3 \), velocity decreases linearly to -2 ft/sec. - From \( t = 3 \) to \( t = 5 \), velocity decreases linearly to -3 ft/sec. - From \( t = 5 \) to \( t = 8 \), velocity remains constant at -3 ft/sec. **Questions:** 1. Find the total displacement from \( t = 0 \) to \( t = 1 \): - Displacement = [_____ ] feet 2. Find the total displacement from \( t = 1 \) to \( t = 8 \): - Displacement = [_____ ] feet
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