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.
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:
Assertion (A) is true because if velocity and acceleration have opposite signs (negative velocity, positive acceleration), the object is slowing down (retarding) initially.
Reason (R) is false. An object with negative initial velocity and positive acceleration can eventually reverse direction and achieve positive displacement (e.g., if it starts at \(x=0\), it will eventually cross \(x=0\) and move to positive \(x\)).
Thus, (A) is true, (R) is false.
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