document.write( "Question 1042754: this is physics:An automobile moving at a constant velocity of 45 ft/s passes a gasoline station. two seconds later, another automobile leaves the gasoline station and accelerates at the constant rate of 6 ft/s^2. how soon will the second automobile overtake the first? \n" ); document.write( "

Algebra.Com's Answer #657784 by ikleyn(52879) $\"\"$ $\"About$

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\n" ); document.write( "this is physics:An automobile moving at a constant velocity of 45 ft/s passes a gasoline station.
\n" ); document.write( "Two seconds later, another automobile leaves the gasoline station and accelerates at the constant rate of 6 ft/s^2.
\n" ); document.write( "How soon will the second automobile overtake the first?
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document.write( "Let \"t\" be the time from the moment when the second car left the station.\r\n" );
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document.write( "Then you have an equation\r\n" );
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document.write( " = .\r\n" );
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document.write( "The left side is the distance from the station to the overtaking point, covered by the first car.\r\n" );
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document.write( "The right side is the same distance, covered by the second care.\r\n" );
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document.write( "Thus you have this quadratic equation\r\n" );
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document.write( " = ,   or\r\n" );
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document.write( " = .\r\n" );
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document.write( "Solve it using the quadratic formula:\r\n" );
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document.write( " =  = .\r\n" );
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document.write( "Only positive root is accepted: t = 15.94 seconds.\r\n" );
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document.write( "Ansqer: 15.94 seconds after the second car left the station.\r\n" );
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