document.write( "Question 1039089: I am not sure it must be under this category, as I don't know the solution:\r
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document.write( "A research team of students in the Physics department of University of South Carolina has been watching the movement of a flea for 60 minutes without interruption.
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document.write( "Each student continuously watched the movement for exactly one minute and during this time, each of them saw the flea move by 1 meter during his 1-minute observation. What is the minimum and maximum distance which the flea could have moved during the 60 minutes of observation? (distance, not displacement)\r
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document.write( "I believe the source of this problem is the Kvant magazine. \n" );
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Algebra.Com's Answer #653829 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "I am not sure it must be under this category, as I don't know the solution:\r \n" ); document.write( "\n" ); document.write( "A research team of students in the Physics department of University of South Carolina has been watching the movement of a flea for 60 minutes without interruption. \n" ); document.write( "Each student continuously watched the movement for exactly one minute and during this time, each of them saw the flea move by 1 meter during his 1-minute observation. What is the minimum and maximum distance which the flea could have moved during the 60 minutes of observation? (distance, not displacement)\r \n" ); document.write( "\n" ); document.write( "I believe the source of this problem is the Kvant magazine. \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "What if the flea moves along a circle?\r\n" ); document.write( "\r\n" ); document.write( "Along a spiral? \r\n" ); document.write( "\r\n" ); document.write( "What if the flea moves 1 meter forward during 1 minute while exactly one student watches the move,\r\n" ); document.write( "\r\n" ); document.write( "and then it flies 1 meter back during another 1 minute while another student watches its move?\r\n" ); document.write( "\r\n" ); document.write( "Did I violate the condition?\r\n" ); document.write( "\r\n" ); document.write( "The condition, as it was formulated, leaves a room for various/different scenarios/speculations.\r\n" ); document.write( "\r\n" ); document.write( "While the good/right formulation should not leave a room for it.\r\n" ); document.write( "\r\n" ); document.write( "One more question: is the distance measured \"along the path\" or simply between the starting and ending points?\r\n" ); document.write( "\r\n" ); document.write( "One more gap/margin in the formulation.\r\n" ); document.write( "\r\n" ); document.write( "Again, good/right formulation should not leave a room for it.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "And the last notice: a good reference (to a \"Kvant magazine\" in this case) should be more definitive.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(I have all \"Kvants\" saved as pdf-files from 1970 to 2011 in my comp).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |