Bundle: College Physics: Reasoning And Relationships, 2nd + Webassign Printed Access Card For Giordano's College Physics, Volume 1, 2nd Edition, Multi-term
2nd Edition
ISBN: 9781133904168
Author: Nicholas Giordano
Publisher: Cengage Learning
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Question
Chapter 2, Problem 53P
(a)
To determine
The average velocity over the time interval t=0.0 s to t=10.0 s.
(a)
Expert Solution
Answer to Problem 53P
The average velocity over the time interval t=0.0 s to t=10.0 s, is 3.0 m/s_.
Explanation of Solution
Write the expression for average velocity.
vavg=ΔxΔt (I)
Conclusion:
Substitute, 30 m−0 m for Δx, and 10.0 s−0.0 s for Δt in equation (I) to find the average velocity from t=0.0 s to t=10.0 s.
vavg=30 m−0 m10.0 s−0 s=3.0 m/s
Therefore, the average velocity over the time interval t=0.0 s to t=10.0 s, is 3.0 m/s_.
(b)
To determine
The average velocity over the time interval t=0.0 s to t=5.0 s.
(b)
Expert Solution
Answer to Problem 53P
The average velocity over the time interval t=0.0 s to t=5.0 s is 4.5 m/s_.
Explanation of Solution
Use equation (I) to find the answer.
Conclusion:
Substitute, 22.5 m−0 m for Δx, and 5.0 s−0.0 s for Δt in equation (I) to find the average velocity from t=0.0 s to t=5.0 s.
vavg=22.5 m−0 m5.0 s−0 s=4.5 m/s
Therefore, the average velocity over the time interval t=0.0 s to t=5.0 s is 4.5 m/s_.
(c)
To determine
The average velocity between t=5.0 s and t=10.0 s.
(c)
Expert Solution
Answer to Problem 53P
The average velocity between t=5.0 s and t=10.0 s is 1.5 m/s_.
Explanation of Solution
Use equation (I) to find the answer.
Conclusion:
Substitute, 30 m−22.5 m for Δx, and 10.0 s−5.0 s for Δt in equation (I) to find the average velocity from t=5.0 s to t=10.0 s.
vavg=30 m−22.5 m10.0 s−5.0 s=1.5 m/s
Therefore, the average velocity between t=5.0 s and t=10.0 s is 1.5 m/s_.
(d)
To determine
The relation of answers in part (a), (b), and (c).
(d)
Expert Solution
Answer to Problem 53P
The relation is average of answers in part (b), and (c) is answer in part (a).
Explanation of Solution
The total average velocity over the time interval t=0.0 s to t=10.0 s must be equal to the average of the individual average velocities for the time intervals t=0.0 s to t=5.0 s and t=5.0 s to t=10.0 s.
Write the expression for the average velocity.
vavg,a=vavg,b+vavg,c2 (II)
Conclusion:
Substitute, 4.5 m/s for vavg,b, 1.5 m/s for vavg,c in equation (II).
vavg,a=4.5 m/s+1.5 m/s2=3.0 m/s
Therefore, the relation is average of answers in part (b), and (c) is answer in part (a).
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Chapter 2 Solutions
Bundle: College Physics: Reasoning And Relationships, 2nd + Webassign Printed Access Card For Giordano's College Physics, Volume 1, 2nd Edition, Multi-term
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