Retarded motion conditions – Rankers Physics

Equations of Motion: Practice Problem & Solution

Assertion (A): If initial velocity is negative and acceleration is positive then motion is retarded (initially). Reason (R): If initial velocity is negative but acceleration is positive then displacement of a particle can never be positive.  
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 Explained:

To solve this problem, we apply the core principles of Equations of Motion. Understanding the underlying formula is key to arriving at the correct answer below:

When velocity and acceleration have opposite signs, the speed decreases (retardation). After stopping, the positive acceleration will move the particle in the positive direction, which can result in positive displacement, so R is false.

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