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- University physics volume 1
- Unit 1. mechanics
- Motion along a straight line
- Finding velocity and displacement
Conceptual questions
Problems
The acceleration of a particle varies with time according to the equation
. Initially, the velocity and position are zero. (a) What is the velocity as a function of time? (b) What is the position as a function of time?
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Between
t = 0 and
t =
t
0 , a rocket moves straight upward with an acceleration given by
, where
A and
B are constants. (a) If
x is in meters and
t is in seconds, what are the units of
A and
B ? (b) If the rocket starts from rest, how does the velocity vary between
t = 0 and
t =
t
0 ? (c) If its initial position is zero, what is the rocket’s position as a function of time during this same time interval?
a.
;
b.
;
c.
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The velocity of a particle moving along the
x- axis varies with time according to
, where
A = 2 m/s,
B = 0.25 m, and
. Determine the acceleration and position of the particle at
t = 2.0 s and
t = 5.0 s. Assume that
.
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A particle at rest leaves the origin with its velocity increasing with time according to
v (
t ) = 3.2
t m/s. At 5.0 s, the particle’s velocity starts decreasing according to [16.0 – 1.5(
t – 5.0)] m/s. This decrease continues until
t = 11.0 s, after which the particle’s velocity remains constant at 7.0 m/s. (a) What is the acceleration of the particle as a function of time? (b) What is the position of the particle at
t = 2.0 s,
t = 7.0 s, and
t = 12.0 s?
a.
;
b.
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Additional problems
Professional baseball player Nolan Ryan could pitch a baseball at approximately 160.0 km/h. At that average velocity, how long did it take a ball thrown by Ryan to reach home plate, which is 18.4 m from the pitcher’s mound? Compare this with the average reaction time of a human to a visual stimulus, which is 0.25 s.
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An airplane leaves Chicago and makes the 3000-km trip to Los Angeles in 5.0 h. A second plane leaves Chicago one-half hour later and arrives in Los Angeles at the same time. Compare the average velocities of the two planes. Ignore the curvature of Earth and the difference in altitude between the two cities.
Take west to be the positive direction.
1st plane:
2nd plane
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Unreasonable Results A cyclist rides 16.0 km east, then 8.0 km west, then 8.0 km east, then 32.0 km west, and finally 11.2 km east. If his average velocity is 24 km/h, how long did it take him to complete the trip? Is this a reasonable time?
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Questions & Answers
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AI-Robot
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AI-Robot
HOW CAN MAN ORGAN FUNCTION
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Ogenrwot
They formed in two ways first when one sperm and one egg are splited by mitosis or two sperm and two eggs join together
Oluwatobi
Genetics is the study of heredity
Misack
how does twins formed?
Misack
discuss biological phenomenon and provide pieces of evidence to show that it was responsible for the formation of eukaryotic organelles
the study of living organisms and their interactions with one another and their environment.
Wine
discuss the biological phenomenon and provide pieces of evidence to show that it was responsible for the formation of eukaryotic organelles in an essay form
list any five characteristics of the blood cells
Shaker
lack electricity and its more savely than electronic microscope because its naturally by using of light
advantage of electronic microscope is easily and clearly while disadvantage is dangerous because its electronic. advantage of light microscope is savely and naturally by sun while disadvantage is not easily,means its not sharp and not clear
Abdullahi
cell theory state that every organisms composed of one or more cell,cell is the basic unit of life
Abdullahi
is like gone fail us
DENG
cells is the basic structure and functions of all living things
Ramadan
is organisms that are similar into groups called tara
Yamosa
in what situation (s) would be the use of a scanning electron microscope be ideal and why?
A scanning electron microscope (SEM) is ideal for situations requiring high-resolution imaging of surfaces. It is commonly used in materials science, biology, and geology to examine the topography and composition of samples at a nanoscale level. SEM is particularly useful for studying fine details,
Hilary
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Source:
OpenStax, University physics volume 1. OpenStax CNX. Sep 19, 2016 Download for free at http://cnx.org/content/col12031/1.5
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