Kinematics: Displacement, Velocity, Acceleration – Rankers Physics
Topic: Kinematics
Subtopic: Equations of Motion

Kinematics: Displacement, Velocity, Acceleration

Assertion (A): If initial velocity is negative but acceleration is positive then displacement of a particle can never be positive.
Reason (R): If initial velocity is negative and acceleration is positive then motion must be retarded throughout.
 
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. If initial velocity is negative and acceleration is positive, the particle can eventually move in the positive direction, leading to a positive displacement (e.g., \(s = v_0 t + \frac{1}{2}at^2\) can be positive for large \(t\)).


Reason (R) is false. Motion is initially retarded, but as velocity becomes positive (due to positive acceleration), the motion becomes accelerated.

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