SOLUTION: The distance required for a car to stop is directly proportional to the square of its velocity. If a car can stop in 112.5 meters at 15 kilometers per hour, how many meters are ne

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Question 81521: The distance required for a car to stop is directly proportional to the square of its velocity. If a car can stop in 112.5 meters at 15 kilometers per hour, how many meters are needed to stop at 25 kilometers per hour.
Answer by dolly(163) About Me  (Show Source):
You can put this solution on YOUR website!
Given that the distance is directly proportional to to the square of velocity.
Let 'd' be the distance and 'v' be the velocity.
Then d = K v^2 where K is the constant of proportionality
==> 112.5 = K (15)^2
==> 112.5 = K * 225
==> 112.5/225 = K
==> K = 0.5
Case(ii)
Given v = 25
So d = K*v^2
= 0.5 * (25)^2
= 0.5 * 625
= 312.5
So 312.5 meters are needed to stop at 25 Km/hr