$*13-64.$ The jet plane is traveling at a constant speed of

$1000f\frac{t}{s}$ along the curve $y=20({10}^{-6})x^2+5000,$ where $x$

and $y$ are in feet. If the pilot has a weight of $180$ lb $,$ determine

the normal and tangential components of the force the seat

exerts on the pilot when $y=10000ft.$

Probs. $13-63/64$