Question 2 - A-Level Maths

Exam Board	Edexcel
Module	M1 (Mechanics 1)
Year	2017
Session	January
Topic	Newton's laws and connected particles

A particle \(P\) of mass 0.5 kg moves under the action of a single constant force ( \(2 \mathbf { i } + 3 \mathbf { j }\) )N.
1. Find the acceleration of \(P\).
At time \(t\) seconds, \(P\) has velocity \(\mathbf { v } \mathrm { m } \mathrm { s } ^ { - 1 }\). When \(t = 0 , \mathbf { v } = 4 \mathbf { i }\)
Find the speed of \(P\) when \(t = 3\) Given that \(P\) is moving parallel to the vector \(2 \mathbf { i } + \mathbf { j }\) at time \(t = T\)
find the value of \(T\).