An equation that gives the particle displacement for a medium in which there is a simple harmonic traveling wave is
Y(x, t) = (2/$\pi$) sin $\pi$(3x + 2t),
Where x and y are in centimeters and t is in seconds. At t = 2 s the speed of a particle at the location x = 4 cm is
A) 0
B) 2 cm/s
C) 4 cm/s
D) 6 cm/s
E) 8 cm/s

Question

Quizplus · Accepted Answer

The speed of a particle in a wave is given by the partial derivative of the displacement with respect to time. Differentiating Y(x, t) with respect to t and substituting x = 4 cm and t = 2 s gives the speed as 4 cm/s.

An Equation That Gives the Particle Displacement for a Medium π\piπ

An Equation That Gives the Particle Displacement for a Medium $\pi$