CAIE M1 2016 November — Question 2

Exam BoardCAIE
ModuleM1 (Mechanics 1)
Year2016
SessionNovember
TopicNon-constant acceleration

2 A particle moves in a straight line. Its displacement \(t \mathrm {~s}\) after leaving a fixed point \(O\) on the line is \(s \mathrm {~m}\), where \(s = 2 t ^ { 2 } - \frac { 80 } { 3 } t ^ { \frac { 3 } { 2 } }\).
  1. Find the time at which the acceleration of the particle is zero.
  2. Find the displacement and velocity of the particle at this instant.