document.write( "Question 1098756: A particle moves along a line so that its position at any time t>=0 is given by s(t) = 2+7t-t^2\r
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document.write( "At which of the following times is the particle moving to the left?
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document.write( "A. t=0 B. t=1 C. t=2 D. t=7/2 E. t= 4 \n" );
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Algebra.Com's Answer #713160 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! A particle moves along a line so that its position at any time t>=0 is given by s(t) = 2+7t-t^2\r \n" ); document.write( "\n" ); document.write( "At which of the following times is the particle moving to the left? \n" ); document.write( "----------- \n" ); document.write( "Speed = 1st derivative of position. \n" ); document.write( "s(t) = 2+7t-t^2 \n" ); document.write( "s'(t) = 7 - 2t \n" ); document.write( "Speed is decreasing when s'(t) < 0 \n" ); document.write( "----- \n" ); document.write( "At t=4, speed = -1, which is \"moving left\" if left is defined as decreasing. \n" ); document.write( "=================== \n" ); document.write( "Another poorly written problem.\r \n" ); document.write( "\n" ); document.write( "A. t=0 B. t=1 C. t=2 D. t=7/2 E. t= 4 \n" ); document.write( " |