SPS SPS SM Mechanics 2021 May — Question 2

Exam BoardSPS
ModuleSPS SM Mechanics (SPS SM Mechanics)
Year2021
SessionMay
TopicSUVAT & Travel Graphs

2. A particle \(P\) moves with constant acceleration \(( 3 \mathbf { i } - 5 \mathbf { j } ) \mathrm { ms } ^ { - 2 }\). At time \(t = 0\) seconds \(P\) is at the origin. At time \(t = 4\) seconds \(P\) has velocity \(( 2 \mathbf { i } + 4 \mathbf { j } ) \mathrm { ms } ^ { - 1 }\).
  1. Find the displacement vector of \(P\) at time \(t = 4\) seconds.
  2. Find the speed of \(P\) at time \(t = 0\) seconds.