$12\mathrm{.}45$

PROBLEM $12\mathrm{.}45$

During a high$-$speed chase, a $2400-1$b sports car traveling at a

speed of $100$m$($i$)/($h$)$ just loses contact with the road as it reaches

the crest A of a hill. $($a$)$ Determine the radius of curvature $\backslash$rho of

the vertical profile of the road at A$.($b$)$ Using the value of $\backslash$rho

found in part a$,$ determine the force exerted on a $160-$lb driver

by the seat of his $3100-$lb car as the car, traveling at a constant

speed of $50$m$($i$)/($h$),$ passes through A$.$

Note: Provide all free$-$body diagrams and kinetic diagrams necessary to create your

equations.