document.write( "Question 1180996: A boy tosses a coin upward with a velocity of +14.7m/s. Find
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Algebra.Com's Answer #810808 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "I think you should use the four standard equations of motion, and be careful\r\n" );
document.write( "that upward vector quantities are positive and downward ones are negative.\r\n" );
document.write( "The tutor above failed to observe this convention.\r\n" );
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document.write( "\"s%5BF%5D-s%5B0%5D\"\"%22%22=%22%22\"\"v%5B0%5Dt+%2B+expr%281%2F2%29at%5E2\"\r\n" );
document.write( "\"v%5BF%5D\"\"%22%22=%22%22\"\"v%5B0%5D+%2B+at\"\r\n" );
document.write( "\"v%5BF%5D%5E2\"\"%22%22=%22%22\"\"v%5B0%5D%5E2+%2B+2a%28s%5BF%5D-s%5B0%5D%29\"\r\n" );
document.write( "\"v%5Bav%5D\"\"%22%22=%22%22\"\"matrix%281%2C2%2C%22%28Average%22%2C%22Velocity%29%22%29\"\"%22%22=%22%22\"\"+%28v%5B0%5D%2Bv%5BF%5D%29%2F2\"\r\n" );
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A boy tosses a coin upward with a velocity of +14.7m/s. Find \r
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document.write( "\"v%5BF%5D%5E2\"\"%22%22=%22%22\"\"v%5B0%5D%5E2+%2B+2a%28s%5BF%5D-s%5B0%5D%29\"\r\n" );
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document.write( "\"0%5E2\"\"%22%22=%22%22\"\"%2814.7%29%5E2+%2B+2%28-9.8%29%28s%5BF%5D-0.49%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"0\"\"%22%22=%22%22\"\"216.09+-+19.6%28s%5BF%5D-0.49%29\"\r\n" );
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document.write( "\"-216.09\"\"%22%22=%22%22\"\"-19.6s%5BF%5D%2B9.604\"\r\n" );
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document.write( "\"-225.694\"\"%22%22=%22%22\"\"-19.6s%5BF%5D\"\r\n" );
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document.write( "\"%28-225.694%29%2F%28-19.6%29\"\"%22%22=%22%22\"\"s%5BF%5D\"\r\n" );
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document.write( "\"11.515\"\"%22%22=%22%22\"\"s%5BF%5D\"\r\n" );
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document.write( "Answer:  11.515 m\r\n" );
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(b) time of flight
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document.write( "\"v%5BF%5D\"\"%22%22=%22%22\"\"v%5B0%5D+%2B+at\"\r\n" );
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document.write( "\"-14.7\"\"%22%22=%22%22\"\"14.7+%2B+%28-9.8%29t\"\r\n" );
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document.write( "\"-29.4\"\"%22%22=%22%22\"\"-9.8t\"\r\n" );
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document.write( "\"%28-29.4%29%2F%28-9.8%29\"\"%22%22=%22%22\"\"t\"\r\n" );
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document.write( "\"3\"\"%22%22=%22%22\"\"t\"\r\n" );
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document.write( "Answer:  3 seconds.\r\n" );
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(c) velocity when the coin returns to the hand. (The boy's hand is 0.49m above
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document.write( "That's the velocity that's equal in magnitude but opposite in direction\r\n" );
document.write( "velocity as the velocity when it left his hand.\r\n" );
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document.write( "Answer: -14.7 m/s\r\n" );
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(d) Suppose the boy failed to catch the coin and the coin goes to the ground,
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document.write( "\"v%5BF%5D%5E2\"\"%22%22=%22%22\"\"v%5B0%5D%5E2+%2B+2a%28s%5BF%5D-s%5B0%5D%29\"\r\n" );
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document.write( "\"v%5BF%5D%5E2\"\"%22%22=%22%22\"\"%2814.7%29%5E2+%2B+2%28-9.8%29%280-0.49%29\"\r\n" );
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document.write( "\"v%5BF%5D%5E2\"\"%22%22=%22%22\"\"216.09+%2B+2%28-9.8%29%28-0.49%29\"\r\n" );
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document.write( "\"v%5BF%5D%5E2\"\"%22%22=%22%22\"\"216.09+%2B+2%28-9.8%29%28-0.49%29\"\r\n" );
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document.write( "\"v%5BF%5D%5E2\"\"%22%22=%22%22\"\"225.694\"\r\n" );
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document.write( "\"v%5BF%5D\"\"%22%22=%22%22\"\"-sqrt%28225.694%29\"\r\n" );
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document.write( "We take the negative square root because the final velocity is downward.\r\n" );
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document.write( "\"v%5BF%5D\"\"%22%22=%22%22\"\"-15.02311552\"\r\n" );
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document.write( "Answer: -15.02 m/s\r\n" );
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document.write( "Edwin

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