document.write( "Question 1142640: The velocity of a particle moving with SHM in a straight line is given by v=4x-x^2. Find the max speed of the particle.\r
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Algebra.Com's Answer #763337 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "You are given\r\n" );
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document.write( "    V(x) = 4x - x^2 = x*(4-x).\r\n" );
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document.write( "The roots of this parabola are x= 0 and x= 4 -- hence, the maximum of the parabola is half way between the roots, i.e. at x= 2.\r\n" );
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document.write( "It means that the maximum speed is (substitute x= 2 into the given formula)\r\n" );
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document.write( "     = 4*2 - 2^2 = 8 - 4 = 4 m/s.     ANSWER\r\n" );
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