Question

A wave traveling along a string is described by rad y (z, t)-(5.00 mm) sin ( kx + ( 500 ) t + ф How much time (in milliseconds) does any given point on the string take to move between displacements y- +2.00 mm and y- -2.00mm?

Answer 1

Since, we're considering a single point we'll assumethat point lies on the position x on the string.

We'll then form 2 equations each using the positions on the y axis and corresponding time instants t1 and t2. Then the time taken to cover this displacement= t2-t1.