It was found that when the brakes of a vehicle were applied, the braking distance, $d$ meters, is

Question

It was found that when the brakes of a vehicle were applied, the braking distance, $d$ meters, is proportional to the square of its speed, $v$ km/h. A vehicle traveling at a speed of $36$km/h has a braking distance of $25$meters. Find the relationship between $d$ and $v$. the braking distance when the speed is $72$km/h. the speed when the braking distance is $8.5$meters.

Accepted Answer

(a) $d=\frac{25}{1296}v^2$. (b) $100$ m. (c) $21.0$ km/h (3 s.f.).

Direct Proportion: Braking Distance and Speed Squared

Direct Proportion: Braking Distance and Speed Squared

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