document.write( "Question 1188509: A ball is thrown vertically upward from the top of a building 64 feet tall with an initial velocity of 48 feet per second. The distances (in feet) of the ball from the ground
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document.write( "after t seconds is s(t) = 64 + 48t - 1612.
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document.write( "(a) After how many seconds does the ball strike the ground?
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document.write( "(b) After how many seconds will the ball pass the top of the building on its way down? \n" );
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Algebra.Com's Answer #819621 by ikleyn(52811)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "A ball is thrown vertically upward from the top of a building 64 feet tall with an initial velocity of 48 feet per second. \n" ); document.write( "The distances (in feet) of the ball from the ground \n" ); document.write( "after t seconds is s(t) = 64 + 48t - \n" ); document.write( "(a) After how many seconds does the ball strike the ground? \n" ); document.write( "(b) After how many seconds will the ball pass the top of the building on its way down? \n" ); document.write( "~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Notice how I edited your post to make the formula correct.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "(a) To answer question (a), solve this equation\r\n" ); document.write( "\r\n" ); document.write( " -16t^2 + 48t + 64 = 0 (ground level)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " First, simplify it by dividing both sides by -16\r\n" ); document.write( "\r\n" ); document.write( " t^2 - 3t - 4 = 0.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " To solve it, factor left side\r\n" ); document.write( "\r\n" ); document.write( " (t-4)*(t+1) = 0.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " Of two roots, t= 4 and t= -1, use only positive one t= 4 seconds. ANSWER\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "(b) To answer question (b), solve this equation\r\n" ); document.write( "\r\n" ); document.write( " -16t^2 + 48t + 64 = 64 (top of the building level)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " Simplify it\r\n" ); document.write( "\r\n" ); document.write( " -16t^2 + 48t = 0\r\n" ); document.write( "\r\n" ); document.write( " -16t(t - 3) = 0.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " Of two roots, t= 0 and t= 3, only greater value t= 3 seconds is the solution to this part of the problem.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved and thoroughly explained.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "///////////////\r \n" ); document.write( " \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 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( " |