$3\mathrm{.}8(2$ points$)$

A $5000$ lb jet travels at a

constant speed of $500$ ft$/$s

along a curve defined by

y$=5000+0\mathrm{.}0001$x$2,$ where x

and y are measured in feet.

Find the normal and

tangential forces exerted by

the seat on the $200$ lb pilot at

x$=0.$