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A particle executes simple harmonic motion with an amplitude of $A = 5 \text{ cm}$ and a time period of $T = 2 \text{ s}$. What is the maximum velocity of the particle in $\text{cm/s}$?

  1. A.$5\pi$
  2. B.$2.5\pi$
  3. C.$10\pi$
  4. D.$2\pi$
Show correct answer & step-by-step solution

Correct answer: A$5\pi$

Solution

The maximum velocity in simple harmonic motion is given by the formula , where . Substituting the given values, .

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