document.write( "Question 494341: When a rock is dropped from a cliff into an ocean, it travels approximately 16t 2 feet in t seconds. If the splash is heard 2 seconds later and the speed of sound is 1100 ft/sec, approximate the height of the cliff. (Give the answer to two decimal places.)
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Algebra.Com's Answer #335605 by chessace(471)![]() ![]() You can put this solution on YOUR website! Drop for t sec from height x ft. \n" ); document.write( "x = 16 t^2 \n" ); document.write( "x = 1100 * (2-t) \n" ); document.write( "16 t^2 + 1100 t - 2200 = 0 \n" ); document.write( "t = (-1100 + sqrt(1100^2 - 4*16*(-2200)))/(2*16) \n" ); document.write( "=(-1100 + sqrt(1210000+140800))/32 \n" ); document.write( "=(-1100 + 1162.24)/32 \n" ); document.write( "=62.24/32 = 1.945 sec \n" ); document.write( "Sound travels for 0.055 sec, \n" ); document.write( "x = 60.5 ft \n" ); document.write( " \n" ); document.write( " |