Direct and Inverse Proportion

Under fixed road and tyre conditions, a model states that braking distance \(d\) metres is directly proportional to the square of speed \(v\) km/h. At \(40\) km/h, the braking distance is \(10\) m.

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

2. Find the braking distance at \(60\) km/h.

3. A student says, “Increasing speed by \(50\%\) increases braking distance by \(50\%\).” Correct the statement using your answer.