document.write( "Question 1203448: A rock is thrown upward with a velocity of 14 meters per second from the top of a 35 meter high cliff, and it misses the cliff on the way back down. When will the rock be 3 meters from ground level? Round your answer to two decimal places.
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Algebra.Com's Answer #839024 by ikleyn(52908) You can put this solution on YOUR website! . \n" ); document.write( ". \n" ); document.write( "A rock is thrown upward with a velocity of 14 meters per second from the top of a 35 meter high cliff, \n" ); document.write( "and it misses the cliff on the way back down. When will the rock be 3 meters from ground level? \n" ); document.write( "Round your answer to two decimal places. \n" ); document.write( "~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "The function describing the height over the base of the cliff is\r\n" ); document.write( "\r\n" ); document.write( " h(t) = -5t^2 + 14t + 35.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The rock will be 3 meters from ground level when h = 3.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "So, to find the relevant time t, you should solve this equation\r\n" ); document.write( "\r\n" ); document.write( " -5t^2 + 14t + 35 = 3.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Simplify\r\n" ); document.write( "\r\n" ); document.write( " -5t^2 + 14t + 32 = 0\r\n" ); document.write( "\r\n" ); document.write( " 5t^2 - 14t - 32 = 0\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "and find t using the quadratic formula\r\n" ); document.write( "\r\n" ); document.write( " t =\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "----------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In this site, there is a bunch of lessons on a projectile thrown/shot/launched vertically up\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " - Introductory lesson on a projectile thrown-shot-launched vertically up \r \n" ); document.write( "\n" ); document.write( " - Problem on a projectile moving vertically up and down\r \n" ); document.write( "\n" ); document.write( " - Problem on an arrow shot vertically upward\r \n" ); document.write( "\n" ); document.write( " - Problem on a ball thrown vertically up from the top of a tower \r \n" ); document.write( "\n" ); document.write( " - Problem on a toy rocket launched vertically up from a tall platform\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Consider these lessons as your textbook, handbook, tutorials and (free of charge) home teacher. \n" ); document.write( "Read them attentively and learn on how to solve this type of problems once and for all.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |