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Statement of a problem № 3364

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A particle vibrates with SHM along a straight line, its greatest acceleration is 5pi^2 cm/s2 , and when its distance from the equilibrium is 4 cm the velocity of the particle is 3pi cm/s. Find the amplitude and the period of oscillation of the particle.

Solution:
A particle vibrates with SHM along a straight line, its greatest acceleration is

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