5) Two travelling waves are described by the wave functions (where all variables are in SI units): Y1 (x, t) = 5 sin(47Tx- 1200nt) %3D Y2 (x, t) = 5 sin ( 4TX - 1200nt- a) What is the amplitude of the resultant wave Y1 + y2?

Order the following waves by their wave vector. Negative wave vectors are less than positive wave vectors. a) y(x, t) = 4 sin(x - t) b) y(x, t) = 4 sin(-x- - t) - c) y(x, t) = 4 sin(2x - 5t) d) y(x, t) = sin(-2x - t) a) > c) > d) > b) d) >b) > c) > a) c) = d) > a) = b) c) > a) > b) > d) A

Two progressive waves ?1(?,?)=?sin(2???−??)y1(x,t)=Asin⁡(2πλx−ωt) and ?2(?,?)=?sin(2???−??−?2)y2(x,t)=Asin⁡(2πλx−ωt−π2) travel in the same direction. Calculate the speed of the wave produced as a result of interference of these two waves. Take ?=5A=5 cm, ?=4λ=4 m and ?=31.4ω=31.4 Hz. Provide your answer in SI units.

X/10. It is √gd, so A water wave is a shallow-water wave if the water depth d is less than shown in hydrodynamics that the speed of a shallow-water wave is v = waves slow down as they move into shallower water. Ocean waves, with wavelengths of typically 100 m, are shallow-water waves when the water depth is less than 10 m. Consider a beach where the depth increases linearly with distance from the shore until reaching a depth of 5.4 m at a distance of 100 m. Part A How long does it take a wave to move the last 100 m to the shore? Assume that the waves are so small that they don't break before reaching the shore. Express your answer to two significant figures and include the appropriate units. At = Value Units ?