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Posted Under: Zong on Sep 3, 2000


Question 89 of 1002

You are driving at 20 km/h and press down fully on the brakes. The road is a bit slippery, and the braking distance is 5 meters. What would the braking distance be if the speed had been 80 km/h on the same road conditions?

Justification

80 meters.

Remember that:

If you double the speed, the braking distance becomes four times longer.

If you triple the speed, the braking distance becomes nine times longer.

If you quadruple the speed, the braking distance becomes sixteen times longer. If you quadruple the speed, the braking distance becomes sixteen times longer.

You can also calculate it using the formula for the change in braking distance: You can also calculate it using the formula for the change in braking distance:

In this case, you have been given that the braking distance before the increase in speed was 5 meters, and that the speed was increased by 4 times (from 20 km/h to 80 km/h). In this case, you have been given that the braking distance before the increase in speed was 5 meters, and that the speed was increased by 4 times (from 20 km/h to 80 km/h).

Therefore, the braking distance will increase by the square of 4 (which equals 4x4, which in turn equals 16). Therefore, the braking distance will increase by the square of 4 (which equals 4x4, which in turn equals 16).

The braking distance at 80 km/h will then be 5 meters x 16 which equals 80 meters. The braking distance at 80 km/h will then be 5 meters x 16 which equals 80 meters.

Options
80 meters
40 meters
60 meters
20 meters




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