3. A ball of mass 0.5 kg is moving with velocity \(12 \mathbf { i } \mathrm {~m} \mathrm {~s} ^ { - 1 }\) when it is struck by a bat. The impulse received by the ball is \(( - 4 \mathbf { i } + 7 \mathbf { j } ) \mathrm { N } \mathrm { s }\). By modelling the ball as a particle, find

1. the speed of the ball immediately after the impact,
2. the angle, in degrees, between the velocity of the ball immediately after the impact and the vector \(\mathbf { i }\),
3. the kinetic energy gained by the ball as a result of the impact.