The displacement of a bell-shaped wave pulse is

Chapter 15, Problem 15.94

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The displacement of a bell-shaped wave pulse is describedby a relation that involves the exponential function:D (x ,t) = Ae-a(x~vt?where the constants A = 10.0 m, a = 2.0 m-2, andv = 3.0 m/s. (a) Over the range 10.0 m < x < +10.0 m,use a graphing calculator or computer program to plot D{x, t)at each of the three times t = 0, t = 1.0, and t = 2.0 s. Dothese three plots demonstrate the wave-pulse shape shiftingalong the x axis by the expected amount over the span ofeach 1.0-s interval? (b) Repeat part (a) but assumeD(x, t) = Ae~

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