Question

Can somebody help me in this ? I have never learned any of this and I am SO confused !

Answer 1

The function is given as,

`v\text{ = }√(20l)`

( a ) length of the car skid marks = 180 feet.

The speed of the car is calculated as,

`\begin{gathered} v\text{ = }√(20l) \\ v\text{ = }√(20*180) \\ v\text{ = }√(3600) \\ v\text{ = 60 feet/second} \end{gathered}`

Thus the car is traveling at the speed of 60 feet/sec when the skid marks are 180 feet.

(b) length of the car skid marks = 125 feet.

The speed of the car is calculated as,

`\begin{gathered} v\text{ = }√(20l) \\ v=√(20*125) \\ v=√(2500) \\ v\text{ = 50 feet/second} \end{gathered}`

Thus the car is traveling at the speed of 50 feet per second when the skid marks are 125 feet.

( c ) The inverse function is calculated as,

`\begin{gathered} v\text{ =}√(20l) \\ v^2\text{ = 20l} \\ l\text{ = }(v^2)/(20) \end{gathered}`

The inverse function gives the value of the length of skid marks when the car has traveled at the speed of v feet per second.