Which one of the following statements is true for the speed v and the acceleration a of a particle executing simple harmonic motion? (a) When v is maximum, a is maximum (b) Value of a is zero, whatever may be the value of v. (c) When v is zero, a is zero (d) When v is maximum, a is zero.

Answer: (d). v = ω√(A² - x²) and a = -ω² x. At the mean position x = 0: v is maximum and a = 0. At the extreme x = ± A: v = 0 and |a| is maximum. So the answer is (d): when v is maximum, a is zero.

Which one of the following statements is true for the speed v and the… | NEET 2004 (AIPMT)

Q84NEET 2004 · AIPMTEasy

Velocity & Acceleration in SHM

Which one of the following statements is true for the speed v and the acceleration a of a particle executing simple harmonic motion?

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Answer: (d)

$v = \omega\sqrt{A^2 - x^2}$ and $a = -\omega^2 x$ .
At the mean position $x = 0$ : $v$ is maximum and $a = 0$ .
At the extreme $x = \pm A$ : $v = 0$ and $|a|$ is maximum.
So the answer is (d): when $v$ is maximum, $a$ is zero.

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Velocity & Acceleration in SHM question from NEET 2004 (AIPMT)

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