FUNDAMENTALS OF PHYSICS - EXTENDED
12th Edition
ISBN: 9781119773511
Author: Halliday
Publisher: WILEY
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Chapter 2, Problem 22P
The position of a particle moving along the x axis depends on the time according to the equation x = ct2− bt3, where x is in meters and t in seconds. What are the units of (a) constant c and (b) constant b? Let their numerical values be 3.0 and 2.0, respectively. (c) At what time does the particle reach its maximum positive x position? From t = 0.0 s to t = 4.0 s, (d) what distance does the particle move and (e) what is its displacement? Find its velocity at times (f) 1.0 s, (g) 2.0 s, (h) 3.0 s, and (i) 4.0 s. Find its acceleration at times (j) 1.0 s, (k) 2.0 s, (l) 3.0 s, and (m) 4.0 s.
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The displacement of a particle is given by s = 2t³ - 42t² + 120t - 68 where s is in feet and t is in seconds. Plot the displacement, velocity,
and acceleration as functions of time for the first 16 seconds of motion. After you have made the plots, answer the questions.
Questions:
At t = 3.3 sec,
S=
i
ft, v = i
ft/sec, a = i
ft/sec
At t = 8.9 sec,
S =
ft, v = i
ft/sec, a = i
ft/sec
Att = 14.2
sec,
S=
i
ft, v = i
ft/sec, a = i
ft/sec
The velocity is zero when t = i
i
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i
sec
The position of a particle moving along the x axis depends on the time according to the equation x = ct2 = bt3, where x is in meters and t in seconds.What are the units of (a) constant c and (b) constant b? Let their numerical values be 3.0 and 2.0, respectively. (c) At what time does the particle reach its maximum positive x position? From t = 0.0 s to t = 4.0 s, (d) what distance does the particle move and (e) what is its displacement? Find its velocity at times (f) 1.0 s, (g) 2.0 s, (h) 3.0 s, and (i) 4.0 s. Find its acceleration at times (j) 1.0 s, (k) 2.0 s, (l) 3.0 s, and (m) 4.0 s.
An object's position in the x-direction as a function of time is given by the expression;
x(t) = 5t2 + 2t where are quantities have proper SI Units. What is the object's average velocity in the x-direction between the times t = 1.35 s and t = 2.3 s. Just enter the number rounded to 3 significant figures and assume it has proper SI Units.
Chapter 2 Solutions
FUNDAMENTALS OF PHYSICS - EXTENDED
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