Direct and Inverse Proportion

Direct and Inverse Proportion

IP 2

Under fixed road conditions, braking distance \(d\) metres is proportional to the square of speed \(v\) km/h. At \(40\) km/h, the braking distance is \(12\) m.

  1. Find an equation connecting \(d\) and \(v\).

  2. Find the braking distance at \(70\) km/h.

  3. Find the greatest speed for which the braking distance is at most \(27\) m.

Solution:

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Answer:(a) \(d=\frac3{400}v^2\); (b) \(36.75\) m; (c) \(60\) km/h.

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