Speed v of a particle moving along a straight line, when it is at a distance x from a fixed point on the line, is given by v² = 108 - 9x² (all quantities in SI units). Then
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Speed v of a particle moving along a straight line, when it is at a distance x from a fixed point on the line, is given by v² = 108 − 9x² (all quantities in SI units). Then

G1 Physics · Accepted Answer

Given v²=108−9x². Compare with SHM relation v²=ω²(A²−x²). Thus ω²=9 and A²=108/9=12. Acceleration is a=−ω²x=−9x; at x=3 cm=0.03 m, |a|=0.27 m s⁻². Hence option B is correct.