document.write( "Question 1194516: A rock is dropped off a cliff 115 m high, how long does it take for the rock to reach the ground?
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Algebra.Com's Answer #826729 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The meters version of the free-fall formula is this approximate equation \n" ); document.write( "y = 4.9x^2 \n" ); document.write( "where, \n" ); document.write( "x = elapsed time in seconds \n" ); document.write( "y = vertical distance traveled in meters \n" ); document.write( "We will ignore air resistance because it greatly complicates the problem.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We are given that the height is 115 meters, so this is the vertical distance needed to hit the ground. \n" ); document.write( "We'll plug in y = 115 and use this to find x. Keep in mind that x > 0. \n" ); document.write( "y = 4.9x^2 \n" ); document.write( "4.9x^2 = y \n" ); document.write( "4.9x^2 = 115 \n" ); document.write( "x^2 = 115/(4.9) \n" ); document.write( "x = sqrt( 115/(4.9) ) \n" ); document.write( "x = 4.84452141651804 \n" ); document.write( "x = 4.84 \n" ); document.write( "Round the approximate value however you need.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer: Approximately 4.84 seconds \n" ); document.write( " \n" ); document.write( " |