Question

4.

In Germany there are no speed limits on some portions of the autobahn. The
distance required to stop a car is given by the following function:
x: Velocity of car (kilometers per hour)
D(x): Stopping distance (meters)
D(x) = .0056x2 +.14x
The function used to convert miles per hour into kilometers per hour is as follows:
X: Miles per hour
k(x): Kilometers per hour
k(x) = 1.6071x
Determine the function to convert miles per hour into stopping distance.

Answer 1

9514 1404 393

Answer:

S(x) = 0.01446x^2 +0.225x . . . stopping distance in meters for x mph

Explanation:

For x miles per hour, k(x) gives the speed in km/h. For a speed (x) in km/h, the function D(x) gives the stopping distance in meters. The composite function ...

S(x) = D(k(x)) = 0.0056((1.6071x)^2 +0.14(1.6071x)

will give the stopping distance in meters for a speed of x miles per hour.

S(x) = 0.01446x^2 +0.225x