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If a vehicle increases its speed from 20 mph to 60 mph, its braking distance will increase by

(1 point)
Responses

3 times.
3 times.

4 times.
4 times.

9 times.
9 times.

40 times.

1 answer

The braking distance of a vehicle is proportional to the square of its speed. Therefore, if you increase the speed from 20 mph to 60 mph, you can calculate the ratio of the braking distances.

To compare the speeds:

  1. (60 mph / 20 mph) = 3.
  2. The braking distance increases by the square of this factor: \[ \text{Braking Distance Increase} = 3^2 = 9. \]

Thus, if a vehicle increases its speed from 20 mph to 60 mph, its braking distance will increase by 9 times.