The formula r =2 sqrt.5L can be used to approximate the speed r, in miles per hour, of a car that has left skid marks of length L, in feet. How far will a car skid at 60 mph?
the way you typed it would be
r = (2√5) L
or did you mean
r = 2√(5L)
major difference between the 2 formulas,
please clarify.
2√(5L) = 60
√(5L) = 30
5L = 900
L = 180
To find the distance a car will skid at 60 mph using the given formula r = 2 * sqrt(5L), we need to substitute the value of r with 60 and solve for L.
Given:
r = 60 mph
We can now rewrite the formula as:
60 = 2 * sqrt(5L)
To isolate L, divide both sides of the equation by 2:
30 = sqrt(5L)
Square both sides to eliminate the square root:
900 = 5L
Now, divide both sides of the equation by 5 to solve for L:
900/5 = L
180 = L
Therefore, a car traveling at 60 mph will skid for approximately 180 feet.
To find how far a car will skid at 60 mph, we first need to substitute the given values into the formula r = 2 √(0.5L).
Given:
r = 60 mph
We need to find L.
Rearranging the formula to solve for L:
r = 2 √(0.5L)
r/2 = √(0.5L)
(r/2)^2 = 0.5L
r^2 / 4 = 0.5L
L = (r^2 / 4) / 0.5
L = r^2 / 8
Substituting the value for r:
L = (60^2 / 8)
L = 3600 / 8
L = 450
Therefore, a car traveling at 60 mph will skid approximately 450 feet.