The position velocity and acceleration of a particle executing simple harmonic motion are found to have magnitudes of 4 m 2 ms^–1 and 16 ms^–2 at a certain instant. The amplitude of the motion is x m where x is _______.

                                                         JEE-2024        

Solution:                
The position velocity and acceleration of a particle executing simple harmonic motion are found to have magnitudes of 4 m 2 ms^–1 and 16 ms^–2 at a certain instant. The amplitude of the motion is√ x m where x is _______.

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