SOLUTION: On dry pavement a car's stopping distance varies directly as the square of its speed. A car traveling at 40 mph can stop in 55 feet. What is the stopping distance of a car travelin

Algebra ->  Rational-functions -> SOLUTION: On dry pavement a car's stopping distance varies directly as the square of its speed. A car traveling at 40 mph can stop in 55 feet. What is the stopping distance of a car travelin      Log On


   

Question 885054: On dry pavement a car's stopping distance varies directly as the square of its speed. A car traveling at 40 mph can stop in 55 feet. What is the stopping distance of a car traveling 65 mph?

Would the answer be about 145 feet?
Thanks!
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +k+ = the constant of variation
+40%5E2+=+k%2A55+
+1600+=+k%2A55+
+k+=+29.091+
--------------
Let +s+ = the stopping distance in feet
+65%5E2+=+k%2As+
+4225+=+k%2As+
+s+=+4225%2F29.091+
+s+=+145.234+
+.234%2A12+=+2.8+
About 145 ft 3 in