1. Amber works at a circus and routinely performs the human cannonball act. The act involves Amber, mass 65 kg, being ejected horizontally out of a specially designed cannon, mass 300 kg, into a net 100 metres away. Both the cannon and Amber start from rest before Amber is shot out at a speed of 108 km h^-1.

(i) Find the speed of the cannon after ejecting Amber.

(ii) Show that the cannon recoils after ejecting Amber.