Problem

Braking distance The distance that a car travels between the time the driver makes the dec...

Braking distance The distance that a car travels between the time the driver makes the decision to hit the brakes and the time the car actually stops is called the braking distance. For a certain car traveling v mi/hr, the braking distance d (in feet) is given by d = v + (v2/20).

(a) Find the braking distance when v is 55 mi/hr.

(b) If a driver decides to brake 120 feet from a stop sign, how fast can the car be going and still stop by the time it reaches the sign?

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