Exam-Style Problem

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June 2007 p4 q1
4062

A particle slides up a line of greatest slope of a smooth plane inclined at an angle \(\alpha^\circ\) to the horizontal. The particle passes through the points \(A\) and \(B\) with speeds 2.5 m s\(^{-1}\) and 1.5 m s\(^{-1}\) respectively. The distance \(AB\) is 4 m (see diagram). Find

  1. the deceleration of the particle,
  2. the value of \(\alpha\).
problem image 4062
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