SOLUTION: the braking distance D in feet to stop a car traveling x miles per hour on dry, level pavement can be approximated by D=1/9x^2. (a)calculate the braking for 20 miles per hour a

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: the braking distance D in feet to stop a car traveling x miles per hour on dry, level pavement can be approximated by D=1/9x^2. (a)calculate the braking for 20 miles per hour a      Log On


   



Question 984192: the braking distance D in feet to stop a car traveling x miles per hour on dry, level pavement can be approximated by D=1/9x^2.

(a)calculate the braking for 20 miles per hour and 70 miles per hour, how do your answers compare?

(b) if the braking distance is 25 feet, estimate the speed of the car.

(c) use the calculator to solve part (b) numerically. Do your answers agree?

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
(a)Calculate the braking for 20 miles per hour and 70 miles per hour, how do your answers compare?
.
For 20 mph:
D=%281%2F9%29x%5E2
D=%281%2F9%29%2820mph%5E2%29
D=%281%2F9%29%28400%29=44.44ft
.
For 70 mph:
D=%281%2F9%29%2870mph%29%5E2
D=%281%2F9%29%284900%29=544.44ft
.
(c) Use the calculator to solve part (b) numerically. Do your answers agree?
.
D=%281%2F9%29%28x%5E2%29
9D=x%5E2
3sqrt%28D%29=x
3sqrt%2825ft%29=x
15mph=x