To find: The maximum speed of the car when it stop in .
The maximum speed of the car is .
The stopping distance is directly proportional to square of speed .
Speed of the car is .
Stopping distance for speed of is .
Stopping distance for which maximum speed is calculated is .
If the quantities and are related by the equation then for , is directly proportional to and is called constant of proportionality.
The given variation is,
First calculate constant of proportionality .
Substitute for and for in equation (1) and solve for .
Multiply both the sides by .
Now, calculate speed for stopping distance of .
Substitute for , 200 for in equation (1) and solve for .
Take square root of above equation.
Thus, the value of maximum speed for stopping distance of is approximately .
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