Final answer:
The question lacks clear context for the variables f and G in terms of a braking distance formula. More information is needed to provide a specific, simplified formula for d in relation to these variables.
Step-by-step explanation:
To write a simplified form of the formula for the braking distance d using the given values for the variables f=0.8 and G=0.05, we need to first understand the context of the question, which relates to the physics of motion. However, the information provided doesn't give an explicit standard equation that includes both f and G as described. We need more information or a clearer definition of what f and G represent in the context of the equation to proceed.
As the student has referenced braking distance, a common physics formula for this concept is derived from the kinetic energy theorem and friction force, typically in the form d = v2 / (2μkg), where v is the initial velocity of the car, μk is the coefficient of kinetic friction, and g is the acceleration due to gravity. The variables f and G in this case may represent different mathematical concepts or constants that were not fully explained in the question.