When a person is driving and pushes the brake, a car does not immediately stop. The car travels a distance before it stops completely. This distance is called braking distance.
The formula for the braking distance of a car is:
d = V_0^2 / (2g(f + G))
Where:
d is the braking distance (in feet),
V_0 is the initial velocity of the car ( in feet per second),
G is the roadway grade (written in decimal form),
f is the coefficient of friction between the tires and the road ,
g is the acceleration constant due to gravity 32.2 feet per second^2
Use the formula above. Let G = 0.1 and f = 0.8.
Calculate the braking distance for an initial velocity of 90 feet per second. Round your answer to the nearest foot.