Chapter 4.2, Problem 97AYU

To determine

To find: Vehicle Stopping Distance: Taking into account reaction time, the distance $d$ (in feet) that a car requires to come to a complete stop while traveling $r$ miles per hour is given by the function.

$d\left(r\right)=6.97r-90.39$

a. Express the speed $r$ at which the car is traveling as a function of the distance $d$ required to come to a complete stop.

To determine

To find: Vehicle Stopping Distance: Taking into account reaction time, the distance $d$ (in feet) that a car requires to come to a complete stop while traveling $r$ miles per hour is given by the function.

$d\left(r\right)=6.97r-90.39$

b. Verify that $r=r\left(d\right)$ is the inverse of $d=d\left(r\right)$ by showing that $r\left(d\left(r\right)\right)=r$ and $d\left(r\left(d\right)\right)=d$.

To determine

To find: Vehicle Stopping Distance: Taking into account reaction time, the distance $d$ (in feet) that a car requires to come to a complete stop while traveling $r$ miles per hour is given by the function.

$d\left(r\right)=6.97r-90.39$

c. Predict the speed that a car was traveling if the distance required to stop was 300 feet.