At certain instant the shape of a simple train of ple wave is `y = 12sin "(pix)/(50)` (`x` and `y` are in `cm`.). The velocity of the wave propagation is `100 cm//s` in a positive direction away from the origin. Find the equation giving the shape of the wave `0.25s` later.

Answer

`y = 12 sin ((pix)/(50) - (pi)/(2))`

Explanation

`y = 12 sin "(pix)/(50)`, at `t = 0`
`y = 12 sin "(pi)/(50)(x - vt)`
`y = 12 sin "(pi)/(50)(x - 100 xx 0.25)`
So equation of shape of wave `y = 12sin ((pix)/(50) - (pi)/(2))`