A hypothetical pulse is travelling along positive x direction on a taut string. The speed of the pulse is `10 cm s^(–1)`. The shape of the pulse at t = 0 is given as
`{:(y=x/6+1,"for",-6 lt x le 0),(=-x+1,"for",0 le x lt1),(=0,"for all other values of x",):}`
x and y are in cm.
(a) Find the vertical displacement of the particle at x = 1 cm at t = 0.2 s
(b) Find the transverse velocity of the particle at x = 1 cm at t = 0.2 s.

Answer

(a) `5/6 cm`
(b) `-5/3 cm s^(-1)`