1. Paul, a teenager of mass $50kg$, is skating in a straight line on a skateboard of mass $5kg$. In the instant that Paul and the skateboard are travelling at $3m{s}^{-1}$, Paul jumps forward off the skateboard. Paul’s speed is $4m{s}^{-1}$ immediately after he jumps off the skateboard.

(i) Calculate the speed of the skateboard immediately after Paul jumps off.

(ii) State whether the skateboard continues to move in the same direction as Paul.