
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
a,b,c is answered, just need d.
You carefully observe an object moving along the x-axis and determine that its position as afunction of time is given by;
x(t) = 2t − 3t^2+ t^3.
(a) What is the position at time t = 2s?
= 0m
(b) What is the velocity at time t = 2s?
= 2m/s
(c) What is the acceleration at time t = 2s?
= 6m/s^2
(d) how far did it travel between times t = 0s and t = 2s? (Distance not displacement, plot x vs. t graph)
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by stepSolved in 2 steps with 1 images

Knowledge Booster
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
- т An object is initially located at (3,4) m with a velocity of io = -5£ – 3ŷ. A constant acceleration of å = т 2£ + 3ŷ is applied to the object for an interval of 5 seconds. a) What is the velocity of the object after 5 seconds? (Answer: 5£ + 12ŷ) b) What is the position of the object after 5 seconds? (Answer: 3£ + 26.5ŷ m) c) What is the average velocity of the object over the 5 second interval? (Answer: 0£ + 4.5ŷ–) d) Plot the acceleration vs time for both x and y e) Plot the velocity vs time for both x and y f) Plot the position vs time for both x and yarrow_forwardAn object has an initial velocity of 15 m/s. How long must it accelerate at a constant rate of 3 m/s square before it's final velocity is equal to twice it's initial velocity?arrow_forwardThe velocity of a particle is given by v(t) =t² – 2t. The position of the particle at the time t = 0 is S(0) = 0. 1. Find a formula for the position S(t) at time t. 2. Find the displacement of the object on [0,3]. 3. Find the total distance traveled by the particle on [0,3].arrow_forward
- Problem 2: Kinematics and vectors. An object is moving on the xy plane with velocities given by: V₂ x = (10.0-0.500t)1 and v = (-5.00t+0.025²) j Determine the following quantities: a. The displacement of the object as a function of time. b. The average velocity of the object from for the time interval from 0 to 10 s.arrow_forwardsolve the following exercisearrow_forwardA particle moves in one dimension, and its position as a function of time is given by x (2.0 m/s)t + (-3.6 m/s²)e². (a) What is the particle's average velocity from t 0.45 s to t = 0.55 s? (Indicate the direction with the sign of your answer.) m/s (b) What is the particle's average velocity from t = 0.49 s to t = 0.51 s? (Indicate the direction with the sign of your answer.) m/s MacBook Air 888 F1 F2 F3 F4 F5 F6 @ #3 $4 3 4 Q W E R T Garrow_forward
- A train starts from rest and accelerates uniformly, until it has traveled 5.6 km and acquired a velocity of 42 ms. The train then moves at a constant velocity of 42 m/s for 420 s. The train then slows down uniformly at 0.065 m/s2, until it is brought to a halt. The acceleration during the first 5.6 km of travel is closest to: O 0.20 m/s² O 0.14 m/s² O 0.19 m/s² 0.17 m/s² O 0.16 m/s²arrow_forwardThe velocity of a particle traveling in a straight line is given by v = (6t – 3t²) m/s, where t is in seconds. If s = 0 when t = 0, determine the particle's deceleration and position when t = 5 s. How far has the particle traveled during the t = 5 s time interval, and what is its average speed? I need a clear answer by hand, not by keyboard | dybalaarrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON

College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning

University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON

Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press

Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning

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...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON