The function D(t)=18t2−130t gives the distance a car going a certain speed will skid in t seconds. Find the time it would take for the car to skid 150 feet.

Answers

The time it will take for the car to skid for 150 feet is 8.23 seconds.

How to find the time the car will skid?

The function D(t) = 18t² − 130t gives the distance a car going a certain speed will skid in t seconds.

The time the it would take for the car to skid for 150 feet can be calculated as follows:

Therefore,

D(t) = 18t² – 130t

150 = 18t² – 130t

18t² – 130t – 150 = 0

divide by 3

9t² – 65t – 75 = 0

Hence,

t = 65 ± 5√277 / 18

t = 8.23425471586 or -1.01166666667

Hence,

t = 8.23 seconds.

Therefore, the time it will take for the car to skid for 150 feet is 8.23 seconds.

8.23 seconds.## How to find the time the car will skid?

function D(t) = 18t² − 130tgives the distance a car going a certain speed will skid in t seconds.D(t) = 18t² – 130tt = 8.23 seconds.8.23 seconds.functionhere: https://brainly.com/question/13927655