The displacement function of a wave travelling along positive -direction is at and by at

PHYSICS · Single correct · AP · Physics 2: Algebra-based · Waves Sound and Physical Optics · Waves Sound and Physical Optics

Problem

The displacement function of a wave travelling along positive

x

-direction is

y = \frac{1}{2 + 3x^2}

t = 0

and by

y = \frac{1}{2 + 3(x - 2)^2}

t = 2 \text{ s}

, where

y

and

x

are in metre. The velocity of the wave is (1)

2 \text{ m/s}

(2)

0.5 \text{ m/s}

(3)

1 \text{ m/s}

(4)

3 \text{ m/s}