document.write( "Question 1147199: A toy rocket is shot vertically into the air from a launching pad 8 feet above the ground with an initial velocity of 112 feet per second. The height h, in feet, of the rocket above the ground at t seconds after launch is given by the function h left parenthesis t right parenthesis equals negative 16 t squared plus 112 t plus 8. How long will it take the rocket to reach its maximum height? What is the maximum height? \n" ); document.write( "

Algebra.Com's Answer #768494 by ikleyn(52802) $\"\"$ $\"About$

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document.write( "The formula for the height is\r\n" );
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document.write( "    h(t) = -16t^2 + 112t + 8.\r\n" );
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document.write( "The time to get the maximum height  is  t =  =  =  = 3.5 seconds.\r\n" );
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document.write( "    I refer to the formula  x =   for the general form quadratic function y = ax^2 + bx + c.\r\n" );
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document.write( "The maximum height you can get  by substituting this value of time t= 3.5 seconds into the formula (1)\r\n" );
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document.write( "    h(3.5) = -16*3.5^2 + 112*3.5 + 8.\r\n" );
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document.write( "Use your calculator.\r\n" );
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\n" ); document.write( "\n" ); document.write( "To see many other similar solved problems, look into the lessons\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( "in this site.\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
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\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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