document.write( "Question 1206905: A rubber ball is dropped on to a concrete driveway from a garage roof 10 feet above the ground. With each rebound, the ball loses 10% of its previous vertical height.\r
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Algebra.Com's Answer #844633 by ikleyn(52787) $\"\"$ $\"About$

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\n" ); document.write( "A rubber ball is dropped on to a concrete driveway from a garage roof 10 feet above the ground.
\n" ); document.write( "With each rebound, the ball loses 10% of its previous vertical height.
\n" ); document.write( "(a)calculate, to the nearest hundredth of a foot, the total vertical distance(up and down)
\n" ); document.write( "travelled by the ball when it contacts the ground for the fourth time.
\n" ); document.write( "(b)calculate the total vertical distance travelled by the ball until it come to rest.
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document.write( "           P a r t  (a)\r\n" );
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document.write( "Down               10 ft       1st contact\r\n" );
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document.write( "up     0.9*10 =     9 ft \r\n" );
document.write( "and down            9 ft       2nd contact\r\n" );
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document.write( "up      =  8.1 ft \r\n" );
document.write( "and down            8.1 ft     3rd contact\r\n" );
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document.write( "up      =  7.29 ft \r\n" );
document.write( "and down            7.29 ft     4th contact\r\n" );
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document.write( "ANSWER to (a) :   = 58.78 ft.\r\n" );
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document.write( "           P a r t  (b)\r\n" );
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document.write( "Calculate the sum \r\n" );
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document.write( "      +  =  + ) = \r\n" );
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document.write( "   = use the formula of the sum of an infinite GP = 10 +  = 10 +  = 10 + 20*9 = 10 + 180 = 190 ft.\r\n" );
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document.write( "ANSWER to (b) :  190 ft.\r\n" );
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