At x = 0 a particle oscillates as y = 3/(2t² + 1). The disturbance propagates in the -x direction with speed 2 m s⁻¹. Find y(x, t).
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At x = 0 a particle oscillates as y = 3/(2t² + 1). The disturbance propagates in the −x direction with speed 2 m s⁻¹. Find y(x,t).

G1 Physics · Accepted Answer

Step 1: At x = 0, y = F(t) = 3/(2t²+1). Step 2: A wave moving in −x with speed 2 m s⁻¹ is y(x,t)=F(t+x/2). Therefore y = 3/[2(t+x/2)²+1]. Final: B.