`y(x, t) = 0.8//[4x + 5t)^(2) + 5]` represents a moving pulse, where `x` and `y` are in meter and `t` in second. Then

Options

A. pulse is moving in +x direction
B. in `2` s it will travel a distance of `2.5 m`
C. its maximum displacement is `0.16 m`
D. it is a symmetric pulse

Answer

b., c., d.

Explanation

`y(x,t)=(0.08)/(16[(x+(5)/(4)t)^(2)+(5)/(16)])`
`y(x,t)=(0.05)/((x+(5)/(4)t)^(2)+(5)/(16))`
where wave velocity = `5//a m//s`
Distance travelled by the wave with this velocity in 2 s is
`5//4(2)=2.5 m`
`y(x,t)` will be maxium when `4x+5t=0`
`y(max)=(0.8)/(5)=0.16 m`