Question

assume that the stopping distance of a van varies directly with the square of the speed. A van traveling 40 mph can stop and 30 feet. If the van is traveling 56 mph, what is its stopping distance

Answer 1

Explanation:

Stopping Distance = k * Speed^2

Where:

Stopping Distance is the distance required to stop.

Speed is the speed of the van in mph.

k is a constant of proportionality.

To find the constant of proportionality (k), you can use the information given when the van is traveling at 40 mph and can stop in 30 feet:

30 = k * 40^2

Now, solve for k:

k = 30 / (40^2)

k = 30 / 1600

k = 0.01875

Now that you have the value of k, you can use it to calculate the stopping distance when the van is traveling at 56 mph:

Stopping Distance = 0.01875 * 56^2

Stopping Distance = 0.01875 * 3136

Stopping Distance ≈ 58.8 feet

So, when the van is traveling at 56 mph, its stopping distance is approximately 58.8 feet.