Multiple choice

A car, moving with a speed of 40 km/h, can be stopped by applying brakes after at least 2 m. If the same car is moving with a speed of 80 km/h, then what will be the minimum stopping distance?

  1. 6 m

  2. 4 m

  3. 2 m

  4. 8 m
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D Correct answer
Explanation

Stopping distance d is proportional to v^2. If v doubles (40 to 80), d increases by 2^2 = 4. New distance = 2 * 4 = 8 m.

AI explanation

The stopping distance is directly proportional to the square of the velocity, given by the relation stopping distance equals velocity squared multiplied by a constant. When the speed doubles from 40 km/h to 80 km/h, the stopping distance becomes four times the original distance. Therefore, the new minimum stopping distance is 4 multiplied by 2 m, which equals 8 m.

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