The equation of motion of a particle is given by s(t) = t3 - 3t +1 where s is in meters and t is in seconds. a) Find the average velocity between t = 0 and t = 3. Be sure to include units. b) Find the instantaneous velocity whent = 3. Be sure to include units. c) Find the acceleration when t = 3. Be sure to include units. d) Find the absolute maximum and absolute minimum values of the function s(t) on the interval [-3, 0]. Be sure to include units.

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 equation of motion of a particle is given by s(t) = t3 - 3t +1 where s is in meters
and t is in seconds.
a) Find the average velocity between t = 0 and t = 3. Be sure to include units.
b) Find the instantaneous velocity whent = 3. Be sure to include units.
c) Find the acceleration when t = 3. Be sure to include units.
d) Find the absolute maximum and absolute minimum values of the function
s(t) on the interval [-3, 0]. Be sure to include units.
Transcribed Image Text:The equation of motion of a particle is given by s(t) = t3 - 3t +1 where s is in meters and t is in seconds. a) Find the average velocity between t = 0 and t = 3. Be sure to include units. b) Find the instantaneous velocity whent = 3. Be sure to include units. c) Find the acceleration when t = 3. Be sure to include units. d) Find the absolute maximum and absolute minimum values of the function s(t) on the interval [-3, 0]. Be sure to include units.
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