the stopping distance of an automobile is directly proportional to the square of its speed v. a car required 90 feet to stop when its speed was 70 miles per hour. find a mathematical model that gives the stopping distance d in terms of its speed v.

Question

the stopping distance of an automobile is directly proportional to the square of its speed v. a car required 90 feet to stop when its speed was 70 miles per hour. find a mathematical model that gives the stopping distance d in terms of its speed v.
D=
Estimate the stopping distance if the brakes are applied when the car is traveling at 71 miles per hour.

Scott · Accepted Answer

D = k v^2 ... 90 = k * 70^2 ... k = 9 / 490 D = (9/490) * 71^2

Mary antonette · Answer

Give the mathematical equation of the following:the distance travelled by a car varies directly as its speed. Use the k as the constant of variation