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Question: Answered & Verified by Expert
The velocity of a particle varies with its displacement as v=9-x2 m s-1. Find the magnitude of the maximum acceleration of the particle.
PhysicsOscillationsNEET
Options:
  • A 3 m s-2
  • B 4 m s-2
  • C 3.5 m s-2
  • D 5 m s-2
Solution:
2145 Upvotes Verified Answer
The correct answer is: 3 m s-2
Comparing the given equation with standard velocity-displacement equation of simple harmonic motion, i.e.,  v = ω A 2 - x 2 , we get

ω=1 rad/s and A=3 m

The magnitude of maximum acceleration of the particle in SHM is=ω2A

=123 m/s2=3 m/s2

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