document.write( "Question 47500: I need your help with this problem:\r
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document.write( "Sound travels at 1100 ft./sec. in still air. Linda finds an old well on a farm she has just bought and wants to know how deep it is. She drops a rock from ground level and hears it splash 4.0 seconds later. Correct to the nearest whole foot, how deep is the well? \n" );
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Algebra.Com's Answer #31410 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! I need your help with this problem: \n" ); document.write( "Sound travels at 1100 ft./sec. in still air. Linda finds an old well on a farm she has just bought and wants to know how deep it is. She drops a rock from ground level and hears it splash 4.0 seconds later. Correct to the nearest whole foot, how deep is the well? \n" ); document.write( "LET THE WELL BE S FT.DEEP \n" ); document.write( "FIRST ROCK HAS TO FALL S FT. TO HIT THE WATER \n" ); document.write( "THE FORMULA FOR FREE FALL DUE TO GRAVITY IS \n" ); document.write( "S=UT+0.5GT^2.....HERE U=0..DROPPED FROM REST...AND G=32 FT/SEC^2 \n" ); document.write( "S=0.5*32T^2=16T^2 \n" ); document.write( "T=SQRT(S/16)=SQRT(S)*(1/4) \n" ); document.write( "AFTER THE SPLASH SOUND WILL TAKE S/1100 SECS TO REACH THE EAR. \n" ); document.write( "SO TOTAL TIME \n" ); document.write( "=SQRT(S)/4+S/1100=4 \n" ); document.write( "LET SQRT(S)=X \n" ); document.write( "X/4+X^2/1100=4 \n" ); document.write( "X^2+275X-4400=0 \n" ); document.write( "X={-275+(275^2+4*4400)^0.5}/2 = 15.16 FT. \n" ); document.write( "S=X^2=229.94 FT=230 FT. \n" ); document.write( " |