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Let position as a function of time be given as follows: D(t) = 5t3 – 2t? + 4t – 6 - 1. If D is measured in m, what units do the constants, 5 and 4 have? 2. Find the positon at the following times. t= 0 s, 2 s, and 5 s. 3. What is the average velocity on the interval from 0-2 s; on the interval 2-5 s and on the interval 0-5 s. 4. What is the instantaneous velocity at time t = 0 s, 2 s and 5 s? (Evaluate the first differential at those times....) 5. What is the equation for acceleration? 6. What is the average acceleration on the interval from 0-2 s; on the interval 2-5 s and on the interval 0-5 s. 7. What is the instantaneous acceleration at time t = 0 s, 2 s and 5 s? (Evaluate the 2nd differential at those times....) 8. Why didn't we just use the equations of constant linear motion for this?

Let position as a function of time be given as follows: D(t) = 5t3 – 2t? + 4t – 6 - 1. If D is measured in m, what units do the constants, 5 and 4 have? 2. Find the positon at the following times. t= 0 s, 2 s, and 5 s. 3. What is the average velocity on the interval from 0-2 s; on the interval 2-5 s and on the interval 0-5 s. 4. What is the instantaneous velocity at time t = 0 s, 2 s and 5 s? (Evaluate the first differential at those times....) 5. What is the equation for acceleration? 6. What is the average acceleration on the interval from 0-2 s; on the interval 2-5 s and on the interval 0-5 s. 7. What is the instantaneous acceleration at time t = 0 s, 2 s and 5 s? (Evaluate the 2nd differential at those times....) 8. Why didn't we just use the equations of constant linear motion for this?

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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Let position as a function of time be given as follows: D(t) = 5t3 – 2t2 + 4t – 6 1. If D is measured in m, what units do the constants, 5 and 4 have? 2. Find the positon at the following times. t = 0 s, 2 s, and 5 s. 3. What is the average velocity on the interval from 0-2 s; on the interval 2-5 s and on the interval 0-5 s. 4. What is the instantaneous velocity at time t = 0 s, 2 s and 5 s? (Evaluate the first differential at those times..) 5. What is the equation for acceleration? 6. What is the average acceleration on the interval from 0-2 s; on the interval 2-5 s and on the interval 0-5 s. 7. What is the instantaneous acceleration at time t = 0 s, 2 s and 5 s? (Evaluate the 2nd differential at those times....) 8. Why didn't we just use the equations of constant linear motion for this?
Transcribed Image Text:Let position as a function of time be given as follows: D(t) = 5t3 – 2t2 + 4t – 6 1. If D is measured in m, what units do the constants, 5 and 4 have? 2. Find the positon at the following times. t = 0 s, 2 s, and 5 s. 3. What is the average velocity on the interval from 0-2 s; on the interval 2-5 s and on the interval 0-5 s. 4. What is the instantaneous velocity at time t = 0 s, 2 s and 5 s? (Evaluate the first differential at those times..) 5. What is the equation for acceleration? 6. What is the average acceleration on the interval from 0-2 s; on the interval 2-5 s and on the interval 0-5 s. 7. What is the instantaneous acceleration at time t = 0 s, 2 s and 5 s? (Evaluate the 2nd differential at those times....) 8. Why didn't we just use the equations of constant linear motion for this?
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