The driver of a car suddenly sees a broad wall in front of him.He should
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Suppose F is the force required in applying brakes to stop the car in distance d .Then
F*d=1/2mv^2 so F=(mv^2)/2d
Now let f is the force required in taking a turn of radius d.Then
f=(mv^2)/d=2F so F=f/2
So it better to apply brakes than to take a turn