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The equation for the displacement of a particle executing SHM is $y = 5 \sin (2 πt) cm$ . Find
(i) velocity at 3cm from the mean position
(ii) acceleration at 0.5s after leaving the mean position

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$8 π {cms}^{- 1}, 0 {cms}^{- 2}$

$6 π {cms}^{- 1}, 20 π^{2} {cms}^{- 2}$

$4 {πcms}^{- 1}, {0 cms}^{- 2}$

$2 π {cms}^{- 1}, 20 π^{2} {cms}^{- 2}$

answer is A.

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Detailed Solution

$v = ω \sqrt{A^{2} - x^{2}}, a = ω^{2} x = ω^{2} Asin ω t$

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