Essential University Physics: Volume 1 (3rd Edition)
3rd Edition
ISBN: 9780321993724
Author: Richard Wolfson
Publisher: PEARSON
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Textbook Question
Chapter 2, Problem 48P
An object’s position as a function of time t is given by x = bt4, with b a constant. Find an expression for the instantaneous velocity, and show that the average velocity over the interval from t = 0 to any time t is one-fourth of the instantaneous velocity at t.
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A particle moves along the x axis according to the equation x = 1.92 + 3.03t – 1.00t, where x is in meters and t is in seconds.
(a) Find the position of the particle at t = 3.10 s.
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(b) Find its velocity at t = 3.10 s.
The instantaneous velocity at a particular time can be obtained by taking the time derivative of the position versus time function and then putting in the specific value of t. m/s
(c) Find its acceleration at t = 3.10 s.
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Chapter 2 Solutions
Essential University Physics: Volume 1 (3rd Edition)
Ch. 2.1 - We just described three trips from Houston to Des...Ch. 2.2 - The figures show position-versus-time graphs for...Ch. 2.3 - An elevator is going up at constant speed, slows...Ch. 2.5 - Standing on a roof, you simultaneously throw one...Ch. 2.6 - The graph shows acceleration versus time for three...Ch. 2 - Under what conditions are average and...Ch. 2 - Does a speedometer measure speed or velocity?Ch. 2 - You check your odometer at the beginning of a days...Ch. 2 - Consider two possible definitions of average...Ch. 2 - Is it possible to be at position x = 0 and still...
Ch. 2 - Is it possible to have zero velocity and still be...Ch. 2 - If you know the initial velocity v0 and the...Ch. 2 - Starting from rest, an object undergoes...Ch. 2 - In which of the velocity-versus-time graphs shown...Ch. 2 - If you travel in a straight line at 50 km/h for 1...Ch. 2 - If you travel in a straight line at 50 km/h for 50...Ch. 2 - In 2009, Usain Bolt of Jamaica set a world record...Ch. 2 - The standard 26-mile, 385-yard marathon dates to...Ch. 2 - Starting front home, you bicycle 24 km north in...Ch. 2 - The Voyager 1 spacecraft is expected to continue...Ch. 2 - In 2008, Australian Emma Snowsill set an...Ch. 2 - Taking Earths orbit to be a circle of radius 1.5 ...Ch. 2 - Whats the conversion factor from meters per second...Ch. 2 - On a single graph, plot distance versus time for...Ch. 2 - For the motion plotted in Fig. 2.15, estimate (a)...Ch. 2 - A model rocket is launched straight upward. 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Position/Velocity/Acceleration Part 1: Definitions; Author: Professor Dave explains;https://www.youtube.com/watch?v=4dCrkp8qgLU;License: Standard YouTube License, CC-BY