Two wave are represented by the equations y1 = a sin ωt and y2 = a cos ωt.The first wave :

The first wave, represented by the equation y1 = a sin ωt, is a sinusoidal wave. This means it oscillates in a smooth, periodic way. The variable 'a' represents the amplitude of the wave, or the maximum displacement of the wave from its equilibrium position. The variable 'ω' represents the angular frequency of the wave, which determines how many oscillations occur in a given time period. The variable 't' represents time.

The wave starts from the equilibrium position (y=0) at t=0, reaches its maximum positive displacement at t=π/2ω, returns to equilibrium at t=π/ω, reaches its maximum negative displacement at t=3π/2ω, and then returns to equilibrium at t=2π/ω. This cycle then repeats for all subsequent times.

The wave's displacement as a function of time, y1, is always between -a and a. The wave's velocity, which is the derivative of y1 with respect to time, varies between -aω and aω. The wave's acceleration, which is the derivative of the velocity with respect to time, varies between -aω^2 and aω^2.