document.write( "Question 1184127: For a water balloon launched from a 49-meter overlook with an initial vertical velocity of 24.5 meters per second, the height h in meters as a function of time t in seconds is h=−4.9t^2+24.5t+49. When will the balloon land and burst? \n" ); document.write( "

Algebra.Com's Answer #814666 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "For a water balloon launched from a 49-meter overlook with an initial vertical velocity of 24.5 meters per second,
\n" ); document.write( "the height h in meters as a function of time t in seconds is h=−4.9t^2+24.5t+49. When will the balloon land and burst?
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document.write( "To answer the question, you should solve this equation\r\n" );
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document.write( "    h(t) = 0,  which is  -4.9t^2 + 24.5t + 49 = 0.\r\n" );
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document.write( "Divide the left side by -4.9.  You will get much more pleasant EQUIVALENT equation\r\n" );
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document.write( "    t^2 - 5t - 100 = 0.\r\n" );
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document.write( "Use the quadratic formula to find its roots\r\n" );
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document.write( "     =  = .\r\n" );
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document.write( "Choose the positive root (and deny negative one)\r\n" );
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document.write( "    t =  = 12.81.\r\n" );
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document.write( "ANSWER.  The event will happen in 12.81 seconds.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved and thoroughly explained.\r
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\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( "    - 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
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\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
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\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
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\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
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\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
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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