The position, velocity and acceleration of a particle executing simple harmonic motion are found to have magnitudes of $4$ m, $2\ \mathrm{ms^{-1}}$ and $16\ \mathrm{ms^{-2}}$ at a certain instant. The amplitude of the motion is $\sqrt{x}$ m where $x$ is ________.

JEE Main 2024 · PhysicsNumerical answerNumerical valueMediumMulti-step

JEE Main 9 April 2024, Shift 1, Physics Q54

Question 54 of 90 in this shift, Physics question 24 of 30, Section B.

The position, velocity and acceleration of a particle executing simple harmonic motion are found to have magnitudes of

4

2\ \mathrm{ms^{-1}}

and

16\ \mathrm{ms^{-2}}

at a certain instant. The amplitude of the motion is

\sqrt{x}

m where

x

is ________.

Official answer

NTA final key.

Chapter: Oscillations
Topic: SHM Equations
Idea tested: Velocity and Accel vs Position

Same idea in other shifts

Asked 3× in all

4 Apr 2026, Shift 1 · Q48The velocity of a particle executing simple harmonic motion along $x$ -axis is described as $v^2=50-x^2$ , where $x$ represents…EasyNumerical value
31 Jan 2024, Shift 1 · Q54A particle performs simple harmonic motion with amplitude $A$ . Its speed is increased to three times at an instant when its displacement…MediumNumerical value

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.