Question 8: Trajectory Shape and Frame Dependence – Rankers Physics
Topic: Kinematics
Subtopic: 1. Distance and Displacement

Question 8: Trajectory Shape and Frame Dependence

Assertion (A): When a particle is observed from two different inertial reference frames the general shape of the trajectory of particle is same.
Reason (R): The position vector of a particle and its velocity are frame independent quantities.
 
(1) Both (A) \& (R) are true and the (R) is the correct explanation of the (A)
(2) Both (A) \& (R) are true but the (R) is not the correct explanation of the (A)
(3) (A) is true but (R) is false
(4) Both (A) and (R) are false

Solution:

The general shape of a particle's trajectory is invariant across inertial reference frames. However, position vectors and velocities are frame-dependent quantities, changing with the relative motion of frames. Therefore, assertion (A) is true, but reason (R) is false.

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