A particle \(P\) of mass 0.7 kg is moving with velocity ( \(\mathbf { i } - 2 \mathbf { j }\) ) \(\mathrm { m } \mathrm { s } ^ { - 1 }\) when it receives an impulse. Immediately after receiving the impulse, \(P\) is moving with velocity \(( 3 \mathbf { i } + 4 \mathbf { j } ) \mathrm { m } \mathrm { s } ^ { - 1 }\).
Find the impulse.
Find, in degrees, the size of the angle between the direction of the impulse and the direction of motion of \(P\) immediately before receiving the impulse.
(3)