14 An air hockey table is 2 m long. A puck of mass 50 g is on the table at the middle point. A player hits the puck with initial speed 4 ms directly towards one side. Once it is moving there is air resistance of RN. Every time the puck hits a side, the speed is reduced by 20%. 32 a Show that if R< the puck returns past the middle point of the table. 205' b Given that the puck does not return to the middle point a second time, find a lower bound for R.

14 An air hockey table is 2 m long. A puck of mass 50 g is on the table at the middle point. A player hits the puck with initial speed 4 ms directly towards one side. Once it is moving there is air resistance of RN. Every time the puck hits a side, the speed is reduced by 20%. 32 a Show that if R< the puck returns past the middle point of the table. 205' b Given that the puck does not return to the middle point a second time, find a lower bound for R.