Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 2, Problem 5P
A position–time graph for a particle moving along the x axis is shown in Figure P2.5. (a) Find the average velocity in the time interval t = 1.50 s to t = 4.00 s. (b) Determine the instantaneous velocity at t = 2.00 s by measuring the slope of the tangent line shown in the graph. (c) At what value of t is the velocity zero?
Figure P2.5
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1. A position – time graph for a
particle moving along the x
axis is shown in Figure P2.7.
(a) Find the average velocity
in the time intervalt =
1.50 s to t = 4.00 s. (b)
Determine the instantaneous
velocity at t = 2.00 s by
measuring the slope of the
tangent line shown in the
graph. (c) At what value of t
is the velocity zero?
x (m)
12
10
6.
1(s)
1 (s)
12 34 5 6
Figure P2.7
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4.
2.
A particle moves along the x axis beginning at x = −2 m at time zero. The particle moves forward at speed 4 m/s for 3 seconds, then backward at 3 m/s for 2 seconds, then forward again at 1 m/s for 3 seconds. Draw a position vs. time graph for this motion. Draw a velocity vs. time graph for the same motion.
A particle moves along the x-axis. Its position varies with time according to the expression x = -4t + 2t2 where x is in meters and t is in seconds.
Determine its displacement in the time intervals t = 0 to t = 1 s and t = 1 s to t = 3 s.
Calculate the average velocity from t = 1 s and t = 3 s.
Calculate the instantaneous velocity at 2.5 s.
Chapter 2 Solutions
Principles of Physics: A Calculus-Based Text
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