# SOLUTION: IF A ROCK IS DROPPED FROM A CLIFF INTO AN OCEAN, IT TRAVELS APPROXIMATELY 16t SQUARED FEET IN t SECONDS. IF THE SPLASH IS HEARD 4 SECONDS LATER AND THE SPEED OF SOUND IS 1,100 FT

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 Click here to see ALL problems on Travel Word Problems Question 56110: IF A ROCK IS DROPPED FROM A CLIFF INTO AN OCEAN, IT TRAVELS APPROXIMATELY 16t SQUARED FEET IN t SECONDS. IF THE SPLASH IS HEARD 4 SECONDS LATER AND THE SPEED OF SOUND IS 1,100 FT/SEC, APPROXIMATE THE HEIGHT OF THE CLIFF.Answer by ankor@dixie-net.com(15660)   (Show Source): You can put this solution on YOUR website!: We know that the distance the rock falls = distance the sound travels : Let the time the rock fall = t; time the sound travels = (4-t) : Rock dist = sound dist 16t^2 = 1100(4-t) 16t^2 = 4400 - 1100t 16t^2 + 1100t - 4400 = 0 : Simplify divide by 4 4t^2 + 275t - 1100 = 0 : Using the quadratic formula (and a good calculator) the positive solution: t = 3.79096 seconds for the rock to fall : Distance = 16 * 3.79096^2 = 229.94 ft : Check the distance with the sound: 1100(4-3.79096) = 229.94 ft also