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Velocity and Acceleration in SHM for NEET: 22 solved questions

Real NEET paper questions on velocity and acceleration in shm, part of oscillations. Each opens with the options, the correct answer and a step-by-step solution. Papers run from 1991 to 2026. No sign-in needed to read them.

What this topic asks

• v-x and a-x relations — 17 questions
• Time, distance and displacement — 5 questions

All 22 questions with solutions

• Consider a spring-mass simple harmonic oscillator in one dimension. The mass of the particle is m kg and the… RE-NEET 2026
• The x-t graph of a particle performing simple harmonic motion is shown in the figure. The acceleration of the… NEET 2023
• The phase difference between the displacement and the acceleration of a particle in simple harmonic motion is: NEET 2020
• The average velocity of a particle executing SHM in one complete vibration is NEET 2019
• The distance covered by a particle undergoing SHM in one time period is (amplitude =A) Odisha NEET 2019
• A pendulum is hung from the roof of a sufficiently high building and is moving freely to and fro like a simpl… NEET 2018
• A particle executes linear simple harmonic motion with an amplitude of 3 cm. When the particle is at 2 cm fro… NEET 2017
• A particle is executing SHM along a straight line. Its velocities at distances x₁ and x₂ from the mean positi… AIPMT 2015
• A particle is executing a simple harmonic motion. Its maximum acceleration is α and its maximum velocity is β… AIPMT 2015
• The oscillation of a body on a smooth horizontal surface is represented by the equation X=A cos(ω t), where X… AIPMT 2014
• A particle of mass m oscillates along the x-axis according to the equation x=a sin ω t. The nature of the gra… Karnataka NEET 2013
• A simple pendulum performs simple harmonic motion about x=0 with an amplitude a and time period T. The speed… CBSE AIPMT 2009
• Two simple harmonic motions of angular frequency 100 rad s⁻¹ and 1000 rad s⁻¹ have the same displacement ampl… CBSE AIPMT 2008
• A particle executes simple harmonic oscillation with an amplitude a. The period of oscillation is T. The mini… CBSE AIPMT 2007
• The phase difference between the instantaneous velocity and the acceleration of a particle executing simple h… CBSE AIPMT 2007
• A particle executing simple harmonic motion of amplitude 5 cm has a maximum speed of 31.4 cm s⁻¹. The frequen… CBSE AIPMT 2004
• Which one of the following statements is true for the speed v and the acceleration a of a particle executing… CBSE AIPMT 2003
• A particle starts with S.H.M. from the mean position as shown in the figure. Its amplitude is A and its time… CBSE AIPMT 1996
• A simple harmonic oscillator has an amplitude A and time period T. The time required by it to travel from x=A… CBSE AIPMT 1992
• If a simple harmonic oscillator has a displacement of 0.02 m and an acceleration equal to 2.0 m s⁻² at any ti… CBSE AIPMT 1992
• A body is executing simple harmonic motion. When the displacements from the mean position are 4 cm and 5 cm,… CBSE AIPMT 1991
• A point performs simple harmonic oscillation of period T and the equation of motion is given by x=a sin (ω t+… NEET 2008