A railroad hopper car is filled with sand and rolling with an initial speed of Vi on straight, horizontal tracks. You can ignore frictional forces on the railroad car. The total mass of the car plus sand is Mtotal. The hopper door is not fully closed, so that sand leaks out of the bottom. After some time t, mass M = 1 /4Mtotal has leaked out. What is the speed of the railroad car at time t?
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