A particle moves in a horizontal line so that its position from a fixed point after t seconds, where t≥ 0, is s metres, where s(t) = 52²2²-A. a Find the position, velocity and acceleration of the particle after 1 second. b Determine whether the particle is speeding up or slowing down at t = 1. c Find the values of t when the particle is at rest. d Find the time intervals on which the particle is speeding up, and the intervals on which it is slowing down. e Find the total distance the particle travels in the first 3 seconds.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
icon
Concept explainers
Topic Video
Question
A particle moves in a horizontal line so that its position from a fixed point after
t seconds, where t≥ 0, is s metres, where s(t) = 52²2²-A.
a Find the position, velocity and acceleration of the particle after 1 second.
b Determine whether the particle is speeding up or slowing down at t = 1.
c Find the values of t when the particle is at rest.
d Find the time intervals on which the particle is speeding up, and the intervals on which it
is slowing down.
e Find the total distance the particle travels in the first 3 seconds.
Transcribed Image Text:A particle moves in a horizontal line so that its position from a fixed point after t seconds, where t≥ 0, is s metres, where s(t) = 52²2²-A. a Find the position, velocity and acceleration of the particle after 1 second. b Determine whether the particle is speeding up or slowing down at t = 1. c Find the values of t when the particle is at rest. d Find the time intervals on which the particle is speeding up, and the intervals on which it is slowing down. e Find the total distance the particle travels in the first 3 seconds.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

Blurred answer
Knowledge Booster
Displacement, velocity and acceleration
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON