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.
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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