A particle is moving along a straight path with the position (in centimeters from a fixed point) given by the following equation x(t) = 5t² - 7t +9, where t is measured in seconds. (a) Find the average velocity on the time interval [1, 1.1], [1, 1.01], and [1, 1.001], respectively. (b) Find the instantaneous velocity at t = 1. Is the particle moving forward or backward? (c) Discuss the connection between the results you obtained in (a) and (b). (d) Find the acceleration at at t = 1. Is the particle speeding up or slowing down?
A particle is moving along a straight path with the position (in centimeters from a fixed point) given by the following equation x(t) = 5t² - 7t +9, where t is measured in seconds. (a) Find the average velocity on the time interval [1, 1.1], [1, 1.01], and [1, 1.001], respectively. (b) Find the instantaneous velocity at t = 1. Is the particle moving forward or backward? (c) Discuss the connection between the results you obtained in (a) and (b). (d) Find the acceleration at at t = 1. Is the particle speeding up or slowing down?
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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![2. A particle is moving along a straight path with the position (in centimeters from a fixed point) given
by the following equation x(t) = 5t² − 7t + 9, where t is measured in seconds.
(a) Find the average velocity on the time interval [1, 1.1], [1, 1.01], and [1, 1.001], respectively.
(b) Find the instantaneous velocity at t = 1. Is the particle moving forward or backward?
(c) Discuss the connection between the results you obtained in (a) and (b).
(d) Find the acceleration at at t = 1. Is the particle speeding up or slowing down?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F335caaaa-895e-4557-b686-c79ca548b6b3%2F7a0952f4-4bf2-42e3-855e-a58795566706%2F3epf97_processed.png&w=3840&q=75)
Transcribed Image Text:2. A particle is moving along a straight path with the position (in centimeters from a fixed point) given
by the following equation x(t) = 5t² − 7t + 9, where t is measured in seconds.
(a) Find the average velocity on the time interval [1, 1.1], [1, 1.01], and [1, 1.001], respectively.
(b) Find the instantaneous velocity at t = 1. Is the particle moving forward or backward?
(c) Discuss the connection between the results you obtained in (a) and (b).
(d) Find the acceleration at at t = 1. Is the particle speeding up or slowing down?
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