document.write( "Question 1055903: A particle moves in a straight line so that t seconds its distance from the starting point is s metres,where s=2t +sin4t.determine the time between t=O and $\"t=2pi\"$ for which its velocity is zero \n" ); document.write( "

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A particle moves in a straight line so that t seconds its distance from the starting point is s metres,where s=2t +sin4t.determine the time between t=O and $\"t=2pi\"$ for which its velocity is zero
\n" ); document.write( "----------
\n" ); document.write( "s= 2t + sin(4t)
\n" ); document.write( "v = 1st derivative of displacement.
\n" ); document.write( "s' = 2 + 4cos(4t) = 0
\n" ); document.write( "cos(4t) = -1/2
\n" ); document.write( "4t = 2pi/3, 8pi/3, 14pi/3, 20pi/3
\n" ); document.write( "t = pi/6, 2pi/3, 7pi/6, 5pi,3
\n" ); document.write( "----
\n" ); document.write( "4t = 4pi/3, 10pi/3, 16pi/3, 22pi/3
\n" ); document.write( "t = pi/3, 5pi/6, 4pi/3, 11pi/6
\n" ); document.write( " \n" ); document.write( "

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