The motion of a particle varies with time according to the relation  y=2sinωt+2cosωt, then

resultant amplitude of super position of two simple harmonic motions is R=a2+b2+2abcosϕ here a,b are amplitudes of two waves, ∅ is phase difference between themThe given equation can be written as  y=2sinωt+2sinωt+π2Here  ϕ=π2R=(2)2+(2)2+222cosπ2 R=2 unit