Minimum Stopping Distance at Doubled Speed – Rankers Physics
Topic: Kinematics
Subtopic: Equations of Motion

Minimum Stopping Distance at Doubled Speed

A car moving with a speed of \(50\text{ kmh}^{-1}\), can be stopped by brakes after at least \(6\text{ m}\). If the same car is moving at a speed of \(100\text{ kmh}^{-1}\), the minimum stopping distance is
\(12\text{ m}\)
\(18\text{ m}\)
\(24\text{ m}\)
\(6\text{ m}\)

Solution:

Stopping distance \(s\) is proportional to \(u^2\). When the speed is doubled (from 50 to 100), the stopping distance increases by a factor of 4. Thus, \(s' = 4 \times 6 = 24\text{ m}\).

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