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Amplitude of y = A cos[pi(t + phi)] when y = 2 cm and v = 2pi cm/s at t = 0

The same question, asked 2 times: 2 May 2023 S2, 17 Apr 2026 S2. Every wording below, oldest first.

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  1. Question 1

    2 May 2023 S2

    49
    The displacement of a particle performing S.H.M. is given by Y=Acos⁡[π(t+ϕ)]Y = A\cos[\pi(t+\phi)]. If at t=0t=0, the displacement is y=2 cmy = 2\,\text{cm} and velocity is 2π cm/s2\pi\,\text{cm/s}, the value of amplitude A in cm is

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  2. Question 2

    17 Apr 2026 S2

    118
    The displacement of a particle performing linear S.H.M. is given by y=Acos⁡[π(t+ϕ)]y = A\cos[\pi(t + \phi)]. If at t=0t = 0, the displacement is y=2y = 2 cm and velocity is 2π2\pi cm/s, the value of amplitude A in cm is

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