The function which provides the total stopping distance T . The distance in feet travelled by a car during the driver’s reaction time is represented by the function R x = 3 4 x . While the distance in feet travelled by the car when driver is braking is represented by the function B x = 1 15 x 2 , where x is the speed of the car in miles per hour.
The function which provides the total stopping distance T . The distance in feet travelled by a car during the driver’s reaction time is represented by the function R x = 3 4 x . While the distance in feet travelled by the car when driver is braking is represented by the function B x = 1 15 x 2 , where x is the speed of the car in miles per hour.
Solution Summary: The author explains the function which provides the total stopping distance T. The distance travelled by the car during the driver’s reaction time is represented by R(x)=34
Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.
Chapter P.9, Problem 57E
(a)
To determine
To calculate: The function which provides the total stopping distance T. The distance in feet travelled by a car during the driver’s reaction time is represented by the function Rx=34x. While the distance in feet travelled by the car when driver is braking is represented by the function Bx=115x2, where x is the speed of the car in miles per hour.
(b )
To determine
To graph : The functions R,B and T over the domain 0≤x≤60 on the same set of coordinate axes. The distance in feet travelled by car during the driver’s reaction time is represented by the function Rx=34x. While the distance travelled by the car when the driver is braking is represented by the function, Bx=115x2, where x is the speed of the car in miles per hour.
( c )
To determine
The function that contributes most to the magnitude of the sum at higher speeds. The distance in feet travelled by car during the driver’s reaction time is represented by the function Rx=34x. While the distance travelled by the car when driver is braking is represented by the function Bx=115x2, where x is the speed of the car in miles per hour.
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