During a high speed chase, a 1200 kg sports car traveling at a speed of 144 km/h

Question

During a high speed chase, a 1200 kg sports car traveling at a speed of 144 km/h just loses contact with
the road as it reaches the crest A of a hill. (a) Determine the radius of curvature ? A of the road at A .
Once past the crest A , the velocity of the car increases at a constant rate of 0.5 m/s^2 . If the distance along
the road between the crest A and the valley B is 900 m and the radius of curvature of the road at point B
is the same as the radius of curvature of the road at point A , determine the force exerted on a 70 kg driver
by the seat of the car at point B .

Explanation / Answer

a) F = ma = mv2/r

R = v2/a

144 kmph is 0.28 m/s

= 0.282 / 0.5

= 0.1568 m

b) F = ma = 70 * .5 = 35 N

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