Direct Proportion: Braking Distance and Speed Squared
Direct Proportion: Braking Distance and Speed Squared
TGM Original
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.
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Answer:(a) \(d=\frac{25}{1296}v^2\). (b) \(100\) m. (c) \(21.0\) km/h (3 s.f.).
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