2 A particle of mass 0.8 kg is moving in a straight line on a smooth horizontal surface with constant speed \(12 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) when it is struck by a horizontal impulse. Immediately after the impulse acts, the particle is moving with speed \(9 \mathrm {~ms} ^ { - 1 }\) at an angle of \(50 ^ { \circ }\) to its original direction of motion (see diagram).
\includegraphics[max width=\textwidth, alt={}, center]{19c3a9d0-15b6-4dd0-a00b-577c3fd2cf52-2_293_597_989_735} Find

1. the magnitude of the impulse,
2. the angle that the impulse makes with the original direction of motion of the particle.