document.write( "Question 1123033: a cart is moving at a initial velocity of 2.0 m/s and accelerates at 3.3 m/s^2 for 33 m . how fast is it going at the end of the motion \n" ); document.write( "
Algebra.Com's Answer #739247 by ikleyn(52788)\"\" \"About 
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document.write( "Let me apply the Energy conservation law.\r\n" );
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document.write( "The change of kinetic energy is  \"%28mV%5E2%29%2F2\" - \"%28mV%5B0%5D%5E2%29%2F2\".\r\n" );
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document.write( "The work of the force which provided the given acceleration \"a\", is  (ma)*d,\r\n" );
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document.write( "where d is the distance (of 33 m in your case).\r\n" );
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document.write( "So, the conservation of energy gives an equation\r\n" );
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document.write( "    \"%28mV%5E2%29%2F2\" - \"%28mV%5B0%5D%5E2%29%2F2\" = ma*d.\r\n" );
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document.write( "Cancel the mass \"m\" in both sides.  You will get\r\n" );
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document.write( "    \"%28V%5E2%29%2F2\" - \"%28V%5B0%5D%5E2%29%2F2\" = a*d.\r\n" );
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document.write( "Hence,  \"V%5E2%2F2\" = ad + \"%28V%5B0%5D%5E2%29%2F2\", \r\n" );
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document.write( "and finally\r\n" );
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document.write( "    V = \"sqrt%28V%5B0%5D%5E2+%2B+2ad%29\".\r\n" );
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document.write( "Now substitute the given values into the formula and calculate the answer.\r\n" );
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