The acceleration of a particle is \( a=-100 x+50 \). It is released from \( x=2 \). Here, \( a \...

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The acceleration of a particle is \( a=-100 x+50 \). It is released from \( x=2 \). Here, \( a \) and \( x \) are in SI units
(a) the particle will perform SHM of amplitude \( 2 \mathrm{~m} \)
(b) the particle will perform SHM of amplitude \( 1.5 \mathrm{~m} \)
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(c) the particle will perform SHM of time period \( 0.63 \mathrm{~s} \)
(d) the particle will have a maximum velocity of \( 15 \mathrm{~m} / \mathrm{s} \)
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