Particle on Curved Path – Rankers Physics

Uniform Circular Motion: Practice Problem & Solution

Assertion (A): If a particle is moving on a curved path its \( \frac{d|\vec{v}|}{dt} \) may be zero. Reason (R): A particle can move on curved path without any acceleration.  
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

Short Solution (Best for NEET):

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

For motion on a curved path, if the speed is constant, then \( \frac{d|\vec{v}|}{dt} = 0 \). So (A) is true. Curved path motion always requires a centripetal acceleration. Hence (R) is false.

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