Concept explainers
(a)
An example of motion in which the magnitude of the instantaneous velocity is always larger than the average velocity.
(a)
Answer to Problem 1Q
Circular motion is an example of motion in which the magnitude of the instantaneous velocity is always larger than the average velocity.
Explanation of Solution
Instantaneous velocity is the rate of change of position with respect to time. Whereas the average velocity is the displacement divided by the corresponding time. When an object performs a circular motion, the instantaneous velocity is always greater than the average velocity. This is because the average velocity over any complete cycle is zero since the displacement is zero. But instantaneous velocity assumes some finite value at any given time.
It is obeyed for any object which is accelerating continuously in the direction of velocity.
Conclusion:
Therefore, Circular motion is an example of motion in which the magnitude of the instantaneous velocity is always larger than the average velocity.
(b)
Example of motion having instantaneous velocity is never parallel to the instantaneous acceleration.
(b)
Answer to Problem 1Q
In uniform circular motion, the instantaneous velocity is always perpendicular to the instantaneous acceleration.
Explanation of Solution
During uniform circular motion, the object is moving with constant speed, as the object moves in a circle the change in direction is also conatnt.it is an example of motion having instantaneous velocity is never parallel to the instantaneous acceleration.
Conclusion:
Therefore, in uniform circular motion, the instantaneous velocity is always perpendicular to the instantaneous acceleration.
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Chapter 5 Solutions
College Physics, Volume 1
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