Question $2$:

$($a$)$ Explain why dimensional analysis is commonly chosen over conventional analytical or numerical techniques when analysing fluid flow problems.

$[6]$

$($b$)$ A $\frac{1}{{16}^{th}}$ scaled model of a bus with frontal area of $7\mathrm{.}8m^2$ and width of $2\mathrm{.}44$ m was created and tested in a wind tunnel. Testing was conducted with the model held stationary while air velocity was varied and resulting drag force measured. The table below summaries the results from this experiment.

$\backslash$table$[[\backslash$table$[[$Air$],[$Speed$],[(\frac{m}{s})$