document.write( "Question 1186556: A particle with a uniform acceleration of 6ms^-2 covers 45m in the 6th second of its motion.Find its initial velocity. \n" ); document.write( "

Algebra.Com's Answer #817455 by ikleyn(52800) $\"\"$ $\"About$

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\n" ); document.write( "A particle with a uniform acceleration of 6ms^-2 covers 45m in the 6th second of its motion.
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document.write( "Let u be the initial velocity.\r\n" );
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document.write( "Then the velocity at the end of the 5-th second is  u + 5a = u + 5*6 = u + 30 m/s;\r\n" );
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document.write( "     the velocity at the end of the 6-th second is  u + 6a = u + 6*6 = u + 36 m/s;\r\n" );
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document.write( "     the average velocity during the 6-th second is   =  = u + 33 m/s.\r\n" );
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document.write( "     an equation for the distance, covered during the 6-th second is\r\n" );
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document.write( "           = 45  meters,\r\n" );
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document.write( "     or\r\n" );
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document.write( "          (u+33) = 45,\r\n" );
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document.write( "     which gives\r\n" );
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document.write( "           u = 45 - 33 = 12 m/s.\r\n" );
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document.write( "ANSWER.  The initial velocity is 12 m/s.\r\n" );
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