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The picture at the right shows the shape of a pulse on a stretched spring at the time t = 0. The displacement of the spring from its equilibrium position at that time is given by:
v. _{0} |

(a) Sketch a graph showing the shape of the spring at a later time,
*t = t _{0}*. Specify the height and position of the peak in
terms of the symbols given.

(b) Write an equation for the displacement of any portion of the spring
at any time,*y*[*x*,*t*]

(c) Sketch a graph of the velocity of the piece of the spring at the position
*x* = 2*b* as a function of time.

Page last modified October 31, 2002: O29