A particle \(P\) of mass 2 kg is moving with velocity \(( - 4 \mathbf { i } + 3 \mathbf { j } ) \mathrm { m } \mathrm { s } ^ { - 1 }\) when it receives an impulse \(( - 6 \mathbf { i } + 42 \mathbf { j } )\) N s.
Find the speed of \(P\) immediately after receiving the impulse.
The angle through which the direction of motion of \(P\) has been deflected by the impulse is \(\alpha ^ { \circ }\)