Exam-Style Problem
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Nov 2013 p43 q1
4025
A particle moves up a line of greatest slope of a rough plane inclined at an angle \(\alpha\) to the horizontal, where \(\sin \alpha = 0.28\). The coefficient of friction between the particle and the plane is \(\frac{1}{3}\).
- Show that the acceleration of the particle is \(-6 \text{ m s}^{-2}\).
- Given that the particle’s initial speed is \(5.4 \text{ m s}^{-1}\), find the distance that the particle travels up the plane.
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