Concept explainers
Two bicyclists in a sprint race begin from rest and accelerate away from the origin of an x–y coordinate system. Miguel’s acceleration is given by (−0.700
(a)
Find the Miguel’s acceleration with respect to Lance.
Answer to Problem 58PQ
The Miguel’s acceleration with respect to Lance is
Explanation of Solution
Integrating the given acceleration will give the velocity of Miguel and Lance as they both starts from rest.
Integrating the velocity will give the position of Miguel and Lance as they both starts from rest.
Write the equation for the acceleration of Miguel relative to Lance.
Here,
Conclusion:
Substitute
Therefore, the Miguel’s acceleration with respect to Lance is
(b)
Find the Miguel’s speed with respect to Lance after
Answer to Problem 58PQ
The Miguel’s speed with respect to Lance after
Explanation of Solution
Write the equation for Miguel’s velocity with respect to Lance.
Here,
Conclusion:
Substitute
Substitute
Then the magnitude of velocity is,
Therefore, the Miguel’s speed with respect to Lance after
(c)
Find the distance between Miguel and Lance after
Answer to Problem 58PQ
The distance between Miguel and Lance after
Explanation of Solution
Write the equation for Miguel’s position with respect to Lance.
Here,
Conclusion:
Substitute
Substitute
Then the distance between Miguel and Lance is,
Therefore, the distance between Miguel and Lance after
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Chapter 4 Solutions
Physics for Scientists and Engineers: Foundations and Connections
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