Police use the formula S = 2 √5x to determine the speed, S in miles per hour of a skid of length x ft. Determine the speed of a car whose skid length is:
A) 45 ft
B) 180 ft
To determine the speed of a car given the skid length, we can use the formula S = 2 √5x, where S represents the speed in miles per hour and x represents the skid length in feet.
Let's plug in the values for the skid length and calculate the speed.
A) Skid length: 45 ft
Using the formula S = 2 √5x:
S = 2 √5(45)
S = 2 √(225)
S = 2 * 15
S = 30
Therefore, the speed of the car whose skid length is 45 ft is 30 miles per hour.
B) Skid length: 180 ft
Using the formula S = 2 √5x:
S = 2 √5(180)
S = 2 √(900)
S = 2 * 30
S = 60
Therefore, the speed of the car whose skid length is 180 ft is 60 miles per hour.