CAIE M1 2006 November — Question 4

Exam BoardCAIE
ModuleM1 (Mechanics 1)
Year2006
SessionNovember
TopicNon-constant acceleration

4 The velocity of a particle \(t \mathrm {~s}\) after it starts from rest is \(v \mathrm {~m} \mathrm {~s} ^ { - 1 }\), where \(v = 1.25 t - 0.05 t ^ { 2 }\). Find
  1. the initial acceleration of the particle,
  2. the displacement of the particle from its starting point at the instant when its acceleration is \(0.05 \mathrm {~m} \mathrm {~s} ^ { - 2 }\).