document.write( "Question 1205148: Hi
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document.write( "A ball drops from a height of 100m. each time it hits the ground, it bounces 60% of the height it fell. How far will the ball travel by the 4th bounce.
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document.write( "Thanks \n" );
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Algebra.Com's Answer #841803 by Edwin McCravy(20060)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "It's not at all clear what you mean by \"by the 4th bounce\". \r\n" ); document.write( "\r\n" ); document.write( "Here is the distance the ball has traveled, each time it\r\n" ); document.write( "goes down then up. You decide when to stop.\r\n" ); document.write( "\r\n" ); document.write( "1. Goes down 100m. The ball has traveled 100m.\r\n" ); document.write( "Hits the ground the 1st time.\r\n" ); document.write( "\r\n" ); document.write( "2. Goes up 60% of 100m, or 60m. The ball has traveled 160m.\r\n" ); document.write( "3. Goes down 60m. The ball has traveled 220m.\r\n" ); document.write( "Hits the ground the 2nd time.\r\n" ); document.write( "\r\n" ); document.write( "4. Goes up 60% of 60m, or 36m. The ball has traveled 256m.\r\n" ); document.write( "5. Goes down 36m. The ball has traveled 292m.\r\n" ); document.write( "Hits the ground the 3rd time.\r\n" ); document.write( "\r\n" ); document.write( "6. Goes up 60% of 36m, or 21.6m. The ball has traveled 313.6m.\r\n" ); document.write( "7. Goes down 21.6m. The ball has traveled 335.2m.\r\n" ); document.write( "Hits the ground the 4th time. \r\n" ); document.write( "\r\n" ); document.write( "8. Goes up 60% of 21.6m, or 12.96m. The ball has traveled 348.16m.\r\n" ); document.write( "9. Goes down 12.6m. The ball has traveled 361.12m.\r\n" ); document.write( "Hits the ground the 5th time.\r\n" ); document.write( "\r\n" ); document.write( "When it hits the ground the 5th time it has traveled 361.12m \r\n" ); document.write( "If that's what you mean by \"by the 4th bounce\", that's the answer.\r\n" ); document.write( "If you mean when it hits the ground the 4th time, the answer is 335.2m\r\n" ); document.write( "If you mean when it rises to its highest point after hitting the ground\r\n" ); document.write( "the 4th time, the answer is 313.6m.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |