AQA M1 2006 January — Question 2

Exam BoardAQA
ModuleM1 (Mechanics 1)
Year2006
SessionJanuary
TopicNon-constant acceleration

2 A particle \(P\) moves with acceleration \(( - 3 \mathbf { i } + 12 \mathbf { j } ) \mathrm { m } \mathrm { s } ^ { - 2 }\). Initially the velocity of \(P\) is \(4 \mathbf { i } \mathrm {~m} \mathrm {~s} ^ { - 1 }\).
  1. Find the velocity of \(P\) at time \(t\) seconds.
  2. Find the speed of \(P\) when \(t = 0.5\).