SOLUTION: The stopping distance,s,of a car varies directly as the square of its speed,v. If a car traveling 30mph requires 58ft to stop, find the stopping distance if the car is traveling at

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The stopping distance,s,of a car varies directly as the square of its speed,v. If a car traveling 30mph requires 58ft to stop, find the stopping distance if the car is traveling at      Log On


   



Question 619292: The stopping distance,s,of a car varies directly as the square of its speed,v. If a car traveling 30mph requires 58ft to stop, find the stopping distance if the car is traveling at 60 mph.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The stopping distance,s,of a car varies directly as the square of its speed,v.
:
Let s = distance required to stop
Let v = the speed of the car
Let k = the constant of variation
:
s = kv^2
:
"If a car traveling 30mph requires 58ft to stop,"
58 = k*30^2
58 = 900k
k = 58/900
k = .064
:
find the stopping distance if the car is traveling at 60 mph.
s = .064*60^2
s = 232 ft to stop