Equations y = 2A cos²(ωt) and y = A[sin(ωt) + √3 cos(ωt)] represent the motion of two particles.
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Equations y = 2A cos²(ωt) and y = A[sin(ωt) + √3 cos(ωt)] represent the motion of two particles.

G1 Physics · Accepted Answer

First motion: y=2A cos²ωt=A+A cos2ωt, so oscillation amplitude A and angular frequency 2ω, giving vₘₐₓ=2Aω. Second motion has amplitude √(A²+3A²)=2A and angular frequency ω, again vₘₐₓ=2Aω. Ratio of maximum speeds is 1:1. Correct answer: C.