Word problem on braking distance
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Trigonometry:
D = 1.05 (V1^2 - V2^2)/64.4(K1 + K2 + sin θ)
K1 is a constant determined by the efficiency of the brakes and tires, K2 is a constant determined by the rolling resistance of the automobile, and θ is the grade of the highway.
a. Compute the number of feet required to slow a car from 55 mph to 30 mph while traveling up hill with a grade of θ = 3.5o. Let K1 = .4 and K2 = .02.
b. Repeat part a with θ = -2
c. How is braking distance affected by grade θ? Does this agree with your driving experience?
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