document.write( "Question 971729: A metal ball (with a mass of 5.0 kg) is dropped from a building 320 meters tall.
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document.write( "How many seconds does it take to hit the ground?
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document.write( "What is the ball's velocity just before impact?\r
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document.write( "Thank you,\r
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document.write( "Madison \n" );
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Algebra.Com's Answer #594121 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! A metal ball (with a mass of 5.0 kg) is dropped from a building 320 meters tall. \n" ); document.write( "How many seconds does it take to hit the ground? \n" ); document.write( "What is the ball's velocity just before impact? \n" ); document.write( "======================= \n" ); document.write( "The commonly used value for acceleration due to Earth's gravity is 9.8 m/sec/sec \n" ); document.write( "------ \n" ); document.write( "Neglecting air friction: \n" ); document.write( "--> h(t) = -4.9t^2 + 0t + 320 where t = seconds and h(t) = height AGL \n" ); document.write( "At impact, h(t) = 0 \n" ); document.write( "h(t) = -4.9t^2 + 0t + 320 = 0 \n" ); document.write( "t^2 = 320/4.9 \n" ); document.write( "t =~ 8.081 seconds \n" ); document.write( "================== \n" ); document.write( "v = at = 9.8*8.081 \n" ); document.write( "=~ 79.196 m/sec \n" ); document.write( "========================== \n" ); document.write( "The mass is not a factor. \n" ); document.write( " \n" ); document.write( " |