document.write( "Question 1185590: A flare is launched from a life raft an initial velocity of 80 meters per second. How many
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document.write( "seconds will it take the flare to fall back to the sea \n" );
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Algebra.Com's Answer #816414 by ikleyn(52778)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "A flare is launched from a life raft \n" ); document.write( "How many seconds will it take the flare to fall back to the sea ? \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " As it was written in the post, the condition was INCOMPLETE, since the direction of the launch was not specified.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " THEREFORE, I edited your post in order for the post would be meaningful.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "The function describing the height of this launched object (in meters over the sea level) versus time is\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " h(t) = -5t^2 + 80t.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "To find the time it takes the flare to fall back and to get the sea level is\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " h(t) = 0, or -5t^2 + 80t = 0.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "We factor it\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 5t(16-t) = 0\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "and find two roots t= 0 and t= 16.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "First root is not interesting for us (it describes the starting moment).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The other root, t= 16 seconds, is the solution to the problem.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. The flare will fall back to the sea in 16 seconds.\r\n" ); document.write( "\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( "To see many other solved similar and different problems and to learn the subject deeper, wider and better, see the lessons\r \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 how to solve this type of problems once and for all.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r \n" ); document.write( "\n" ); document.write( " - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this textbook under the topic \"Projectiles launched/thrown and moving vertically up and dawn\".\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I \n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |