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- Michael Brown
Plot the waveform v = 1sin(2πf t) + 1cos(2πf t) for each discrete term & then combine them to produce the final waveform for the range t = 0 to t = 0.02 seconds in increments of 0.001 second. Let f= frequency = 50 Hz When you modify the sine or cosine functions there is a basic guide for it Asin(Bx+C)+D. A affects the amplitude is a is negative it flips the function over the x axis. 2pi/B is the period (so as B gets larger the period gets shorter). C is the phase shift postive C to the left, negative to the right. D shifts the entire function up or down (it's easiest to move the center line). Assuming that v is velocity, if you differentiate you will get acceleration, integrate distance traveled. It's going to demonstrate constructive and destructive interference. Where peaks add together you get higher peaks, (or lower troughs if those add) But where a peak meets a trough they "cancel" each other out so you get a lesser effect.