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You are not logged in. #1 20090412 23:31:31
Snow PloughsA lovely problem, taken from Advanced Problems in Mathematics, by Dr Siklos* *He adds in his discussion that this can be generalised to n identical snowploughs #2 20090413 02:13:25
Re: Snow PloughsWhen the first snow plough has been moving for seconds, the depth of snow at the spot it has reached is metres so its velocity would be metres per second. The distance it has moved out would thus be metres. Thus, if it takes seconds to move out to the spot metres from the start point, we have By the time the second snow plough reaches the same spot, another metres of fresh snow would have fallen. Hence #3 20090413 03:04:35
Re: Snow PloughsThe solution to the differential equation is Suppose the collision distance is . The time that has elapsed since the snow started falling would be for the second plough and for the first plough. 