A particle moves along a line so that its position at any time t20 is given by the function s(t) = -16t? + 60t + 100, where s is measured in feet and t is measured in seconds (a) Find the displacement during the first 5 seconds. (b) Find the average velocity during the first 5 seconds. (c) Find the instantaneous velocity when t = 5. (d) Find the acceleration of the particle when t = 5. (e) At what value or values of t does the particle change direction?
A particle moves along a line so that its position at any time t20 is given by the function s(t) = -16t? + 60t + 100, where s is measured in feet and t is measured in seconds (a) Find the displacement during the first 5 seconds. (b) Find the average velocity during the first 5 seconds. (c) Find the instantaneous velocity when t = 5. (d) Find the acceleration of the particle when t = 5. (e) At what value or values of t does the particle change direction?
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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Displacement, average velocity, instantaneous velocity, acceleration and points of change for a particle.
![A particle moves along a line so that its position at any time t20 is given by the function
s(t) = -16t2 + 60t + 100, where s is measured in feet and t is measured in seconds
(a) Find the displacement during the first 5 seconds.
(b) Find the average velocity during the first 5 seconds.
(c) Find the instantaneous velocity when t = 5.
(d) Find the acceleration of the particle when t = 5.
(e) At what value or values of t does the particle change
direction?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9b2fbfa8-0fc4-4bf7-b479-8ac42dd1f210%2F50881aaa-7a0f-48e6-9406-f67de2c0bb5f%2F8mlt02s_processed.png&w=3840&q=75)
Transcribed Image Text:A particle moves along a line so that its position at any time t20 is given by the function
s(t) = -16t2 + 60t + 100, where s is measured in feet and t is measured in seconds
(a) Find the displacement during the first 5 seconds.
(b) Find the average velocity during the first 5 seconds.
(c) Find the instantaneous velocity when t = 5.
(d) Find the acceleration of the particle when t = 5.
(e) At what value or values of t does the particle change
direction?
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