A square energy pulse traveling to the right with a speed v-2 m/s is given by  the equation:

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f(x,t)=E if Ix-vt|<a f(x,t)=0 if |x-vtlza where E is an energy constant and a a length constant. i) Plot this pulse as a funtion of x at t=0. ii) Plot this pulse as a function of x at t-4 s. iii) Expand this pulse as an infinite superposition of harmonic traveling waves of the type cos(ot-kx) where o/k=v. f(x,t)=E if Ix-vt|<a f(x,t)=0 if |x-vtlza where E is an energy constant and a a length constant. i) Plot this pulse as a funtion of x at t=0. ii) Plot this pulse as a function of x at t-4 s. iii) Expand this pulse as an infinite superposition of harmonic traveling waves of the type cos(ot-kx) where o/k=v.