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

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) (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
RELATED QUESTIONS
The stopping distance s of a car varies directly as the square of its speed v. If a car... (answered by ewatrrr)

The stopping distance s of a car varies directly as the square of its speed v. If a car... (answered by mananth)

the stopping distance, s, of a car varies directly as the square of its speed, v. If a... (answered by Alan3354)

the stopping distance, s , of a car varies directly as the square of its speed, v. if a... (answered by josgarithmetic)

The stopping distance, s, of a car varies directly as the square of its speed, v. If a... (answered by Alan3354)

The stopping distance s of a car varies directly as the square of its speed v. If a car... (answered by mananth,greenestamps,josgarithmetic)

The stopping distance of (s) of a car varies directly as the square of it's speed (v). If (answered by ankor@dixie-net.com)

the stopping distance of a car varies directly as the square of its speed. if a car... (answered by jorel1380)

the stopping distance,s, of a car varies directly as the squrare of its speed, v. If a... (answered by ankor@dixie-net.com)