A particle of mass m oscillates along x-axis according to

A particle of mass m oscillates along x-axis according to equation x = a sin ωt. The nature of the graph between momentum and displacement of the particle is

As	v²	+	y²	= 1 This is the equation of ellipse.
	a² ω²		a²

Hence the graph is an ellipse. P versus x graph is similar to V versus x graph.