Kinematics: Average vs. Instantaneous Velocity – Rankers Physics
Topic: Kinematics
Subtopic: Graphs of Motion

Kinematics: Average vs. Instantaneous Velocity


Assertion (A): For a moving particle on a straight line magnitude of average velocity between any two points will be less than magnitude of instantaneous velocity at every point between them.
Reason (R): In \(x-t\) graph slope of chord joining two points gives average velocity between them.
 
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution:

Assertion (A) is false. The magnitude of average velocity can be equal to or greater than the magnitude of instantaneous velocity at some points, or less than at others. For constant velocity, they are equal.


Reason (R) is true. By definition, the slope of the chord in an \(x-t\) graph represents the average velocity. However, since Assertion (A) is false, option (4) is selected.

Leave a Reply

Your email address will not be published. Required fields are marked *