document.write( "Question 202853: If a juggler can toss a ball into the air with a velocity of 64ft/sec from a height of 6 ft, then what is the maximum height reached by the ball? \n" ); document.write( "

Algebra.Com's Answer #153025 by Edwin McCravy(20059) $\"\"$ $\"About$

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If a juggler can toss a ball into the air with a velocity of 64ft/sec from a height of 6 ft, then what is the maximum height reached by the ball?
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document.write( "where  = the final velocity\r\n" );
document.write( "where  = the initial velocity \r\n" );
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document.write( "(that's the speed at which the ball was thrown \r\n" );
document.write( "upward at the beginning, which is 64 ft/sec)\r\n" );
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document.write( "The ball has to stop momentarily when it gets to its maximum height.\r\n" );
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document.write( " = the number of seconds it takes the ball to \r\n" );
document.write( "change its speed from ft/sec to   \r\n" );
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document.write( "Therefore  = 0\r\n" );
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document.write( "Substituting into\r\n" );
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document.write( "So it reaches its maximum height in 2 seconds.\r\n" );
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document.write( "Now we use another formula to find out how high the\r\n" );
document.write( "ball was exactly 2 seconds after it was thrown up:\r\n" );
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document.write( " = the height of the ball at time t\r\n" );
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document.write( " = the initial height \r\n" );
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document.write( "(that's the height of ball at beginning of the toss, feet\r\n" );
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document.write( "and where  = the initial velocity = ft/sec\r\n" );
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document.write( "(that's the height of ball at beginning of toss)\r\n" );
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document.write( "Substitute , , \r\n" );
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document.write( "in:\r\n" );
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document.write( "So the maximum height of the ball is 70 feet\r\n" );
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document.write( "Edwin

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