Question $5.$ The diagram below shows a wing moving forward at a groundspeed of $\backslash (8\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash )$ and down at $1$ m $\text{'}$s while flying into a headuind of $3$ m $\text{'}$s with an updraft of $\backslash (2\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash ).$ On this diagram, use a ruler and labels to clearly indicate the following:

ai The diection and velocity of the relative wind $($use vector addition in the grid provided then calculate the velocity of the relative wind vector it mis$)$

b$.$ The chard of the aerofoil

c$.$ The angle of attack $\backslash (\backslash$alpha $\backslash )($numencic angle not required$)$

And from the black dot on the aerofoil draw$-$

d$.$ The lift vector $\backslash ($ F $\backslash )($qualitative only$)$

e The drag vector $\backslash ($ F$\_\{$i$\}\backslash ),($qualitative only$)$

f$.$ The resultant aerodynamte force $\backslash (($R$)\backslash )$

$\backslash (2\backslash$mathrm$\{$~ms$\}^\{-1\}\backslash )$ headwind

$\backslash (11\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash )$

Forward $\backslash (8\backslash$mathrm$\{$~ms$\}^\{-1\}\backslash )16.$ This diagram shows a cross$-$section through the tail fluke of a dolphin swmining forward at $\backslash (3\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash )$ into an oncoming current of $\backslash (1\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash ).$ The tail is moving down at $\backslash (6\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash ).$ On this diagram, use a ruler and labels to clearly indicate the following $(4$ marks$)$:

a$.$ The direction of the relative water flow past the bydrofoil $($use vector addition in the grid provided$)$

b$.$ The relative water velocity $($calculate velocity$)$

c$.$ The chord of the hydrofoil

d$.$ The angle of attack $\backslash (\backslash$alpha $\backslash )($numetic angle not required$)$

e$.$ The lift vector $($from the black dot, qualitative only$)$

f The drag vector $($from the black dot, qualitative only$)$

$($The resultant hydrodynamic force $($from the black dot$),$

h$.$ Use the hydrodynamic resultant to show the forvard thrust component $($from black dot$)$