Imagine that a perfect hockey puck (zero friction) is given an initial horizontal impulse on a very large, flat, frictionless ice surface. a.) What force(s) act on the hockey puck after the initial impulse? b.) Sketch a picture that illustrates the path of the puck under these conditions. Briefly explain your answer. c.) Does the speed of the puck ever change during this path? Briefly explain. d.) Using the x and y equations of motion appropriate for this situation, derive a functional expression for the position of the puck (x,y) as a function of time. (hint: recall that u = and y = dy e.) If the initial impulse is u = 1 m/s, how large does this perfect “ice rink" need to be at latitude 45 °N in order for the puck to remain on the ice?