The displacement equation of a particle is given by
x=Asin(ωt+ϕ)⇒sin(ωt+ϕ)=Ax
The velocity equation is given by,
v=ωAcos(ωt+ϕ)⇒cos(ωt+ϕ)=ωAv
Since, sin2θ+cos2θ=1
⇒A2x2+ω2A2v2=1
The above equation represents an ellipse.
When a particle executes simple Harmonic motion, the nature of graph of velocity as function of displacement will be
Held on 26 Jul 2022 · Verified 6 Jul 2026.
Circular
Ellipitical
Sinusoidal
Straight line
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Work through every JEE Main Waves & Oscillations PYQ, year by year.