When a person is driving and pushes the brake, a car does no…

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 the braking distance. The formula for the braking distance of a car is d=v022g(f+G){“version”:”1.1″,”math”:”d=v022g(f+G)”} where  d{“version”:”1.1″,”math”:”d”}  is the braking distance (in feet) v0{“version”:”1.1″,”math”:”v0″} is the initial speed of the car (in feet per second) G{“version”:”1.1″,”math”:”G”}  is the roadway grade (written in decimal form)         f{“version”:”1.1″,”math”:”f”} is the coefficient of friction between the tires and the roadway g{“version”:”1.1″,”math”:”g”}  is the acceleration constant due to gravity (g{“version”:”1.1″,”math”:”g”} = 32.2 ft/sec2) a) Find and simplify the formula for braking distance if  G=0.04{“version”:”1.1″,”math”:”G=0.04″} and f=0.82{“version”:”1.1″,”math”:”f=0.82″} b) Using the formula from (a), complete the table below. Round to two decimal places. Initial Speed (ft/sec) Braking Distance (feet) 40 65 80 130