The table below gives the results of an online calculator showing how far (in feet) a vehicle will travel while braking to a complete stop, given the initial velocity of the automobile. Braking Distance MPH 10 20 30 40 50 60 70 80 90 Distance (feet) 27 64 113. 172 243 324 417 520 635 (a) Find a quadratic model for the stopping distance. (Round all numerical values to three decimal places.) d(x) = feet (b) What other factors besides the initial speed would affect the stopping distance? (Select all that apply.) Road conditions O Conditions of the brakes and tires O Size of the car's engine Age of the driver Force with which the brakes are applied