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During a high-speed chase, a 2400-lb sports car traveling

at a speed of 100 mi/h just loses contact with the road as it

reaches the crest A of a hill. a) Determine the radius of

curvature r of the vertical profile of the road at A. b)

Using the value of r found in a 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 mi/h,

passes through A.

an= v^2/p, p is what we are searching from, but it if we are not given an equation of the hill, it seems unlikely that it can be solved.

p can also be found using derivatives of the position function...

Is this even solve-able?

at a speed of 100 mi/h just loses contact with the road as it

reaches the crest A of a hill. a) Determine the radius of

curvature r of the vertical profile of the road at A. b)

Using the value of r found in a 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 mi/h,

passes through A.

## Homework Equations

an= v^2/p, p is what we are searching from, but it if we are not given an equation of the hill, it seems unlikely that it can be solved.

p can also be found using derivatives of the position function...

Is this even solve-able?