An object of mass is not required for this problem. An ice-hockey puck slides on a horizontal frictionless surface with an initial speed u. A player hits the puck so that it experiences a uniform retardation of magnitude a until it comes to rest.
(i) Derive an expression for the time tstop taken by the puck to come to rest in terms of u and a.
(ii) A puck is observed to slow down from 8m/s to rest under a uniform retardation of 1.6m/s2. Using your result from part (i), calculate the time taken to stop.
(iii) Immediately after coming to rest, the same retardation 1.6m/s2 continues to act for a further 2s in the same direction as before. Find the velocity of the puck at the end of this additional 2s and state its direction with respect to the initial motion.