5. A particle \(P\) of mass 2 kg moves in a plane under the action of a single constant force \(\mathbf { F }\) newtons. At time \(t\) seconds, the velocity of \(P\) is \(\mathbf { v } \mathrm { m } \mathrm { s } ^ { - 1 }\). When \(t = 0 , \mathbf { v } = ( - 5 \mathbf { i } + 7 \mathbf { j } )\) and when \(t = 3 , \mathbf { v } = ( \mathbf { i } - 2 \mathbf { j } )\).

1. Find in degrees the angle between the direction of motion of \(P\) when \(t = 3\) and the vector \(\mathbf { j }\).
2. Find the acceleration of \(P\).
3. Find the magnitude of \(\mathbf { F }\).
4. Find in terms of \(t\) the velocity of \(P\).
5. Find the time at which \(P\) is moving parallel to the vector \(\mathbf { i } + \mathbf { j }\).