document.write( "Question 1195353: A particle travelling in a straight line passes a fixed point O with a velocity of 16 m/s. Its
\n" ); document.write( "acceleration, a m/s^2, is given by a = 12- 6t, where t is the time in seconds after passing O. Calculate
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Algebra.Com's Answer #828042 by Edwin McCravy(20060) $\"\"$ $\"About$

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A particle travelling in a straight line passes a fixed point O with a velocity of 16 m/s. Its
\n" ); document.write( "acceleration, a m/s^2, is given by a = 12- 6t, where t is the time in seconds after passing O. Calculate
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\n" ); document.write( "b) The distance from O when t = 2\r
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document.write( "When t=0, the particle is at O, with velocity 16. So we substitute\r\n" );
document.write( "t=0 and v=16\r\n" );
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document.write( "So the constant is 16, and\r\n" );
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document.write( "Use the vertex formula or differentiating and setting the derivative = 0\r\n" );
document.write( "to find that the maximum velocity is \r\n" );
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document.write( "v=28 m/s when t=2 seconds.        <--answer to (a)   \r\n" );
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document.write( "To find the distance when t=2,\r\n" );
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document.write( "When t=0, the particle is at O, so at that instant the distance s=0, So\r\n" );
document.write( "we substitute t=0 and s=0\r\n" );
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document.write( "So the constant is 0\r\n" );
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document.write( "We substitute t=2\r\n" );
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document.write( "s = 48 meters.       <--answer to (b)\r\n" );
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document.write( "Edwin

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