$5\mathrm{.}26(20$ Pts$)$ A pitot$-$static tube is used to measure an airplane's air speed. When the pressure$-$difference gauge reads $0\mathrm{.}3$ psig, how fast is the plane going?

$($a$)$ At sea level where the air density is about $0\mathrm{.}075lb\frac{m}{f}t3?$

$($b$)$ At an altitude of $10000$ ft $,$ where the air density is about $0\mathrm{.}057lb\frac{m}{f}t3?$

$($c$)$ Does this difference cause problems for the pilot? $($You may have to ask your pilot or aeronautical engineering friends for help on part c$.)$