=cos‌ω‌t ....(ii) Squaring and adding (i) and (ii), we get
x2
a2
+
v2
a2ω2
=sin2ωt+cos2ωt
x2
a2
+
v2
a2ω2
=1 It is an equation of ellipse. Hence, the graph between velocity and displacement is an ellipse. Momentum of the particle =mv ∴ The nature of graph of the momentum and displacement is same as that of velocity and displacement.