PLEASE HELP! I am so lost. TY$!$

You must write out each step of the calculation. Show the equations you are using at each step and the

result. Don't forget to show the correct units for values shown.

Question $1$:

A wave in deepwater has a height $H_0=2\mathrm{.}2m,$ period $T=6\mathrm{.}6s$ and angle relative to the coastline ${}_0=33.$

a$)$ Assuming parallel depth contours and taking both shoaling and refraction into account, what is:

i$.$ the water depth at the breakpoint, $h_b$

ii$.$ the wave height at the breakpoint, $H_b$

iii. the angle of breaking, ${}_b.$

b$)$ Assume the coast follows a Dean $(1991)$ equilibrium profile, given by: $h=A{y}^{\frac{2}{3}}$; where $h=$ water

depth, $y=$ cross$-$shore distance, $A=$ constant $=0\mathrm{.}21D_{50}^{0\mathrm{.}48},$ and $D_{50}=$ median sediment diameter in

$mm.$ How far is the breakpoint $($computed in $1$a$)$ from the shoreline if $D_{50}$ is:

i$)0\mathrm{.}25mm.$

ii$)0\mathrm{.}55mm.$

Tip: Rearrange the equation to make y the subject of the formula.

c$)$ What is the maximum wave orbital velocity, $u_m,$ at the bed at the breakpoint $(z=-h_b)?$ Based on this

value, what is the average long$-$shore current, $V_L?$

d$)$ What type of sediment transport regime $($bedload$,$ suspended load, or both$)$ is taking place at the

bed at the breakpoint using both values of $D_{50}$ given in $1b,$ assuming that the mean velocity $U$ is

equal to $u_m$ computed in $1c?$ Take ${}_s=2650k\frac{g}{m^3},=1030k\frac{g}{m^3},v=8\mathrm{.}22{10}^{-7}\frac{m^2}{s}.$