document.write( "Question 1174046: chandra is tossing a softball into the air with an underhand motion. the distance of the ball above her hand at any time is given by the function h(t)=32t-16t^2 for 0 < or equal to t < or equal to 2. where h (t) is the height and t is the time (in seconds). find the times at which the ball is in her hand and the maximum height of the ball. \n" ); document.write( "

Algebra.Com's Answer #799412 by ikleyn(52866) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "The height function is the parabola\r\n" );
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document.write( "     h(t) = -16t^ + 32t.\r\n" );
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document.write( "It has zeros, when  h(t) = 0,   or\r\n" );
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document.write( "    -16t^2 + 32t = 0.\r\n" );
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document.write( "Factor the expression\r\n" );
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document.write( "     -16t*(t-2) = 0.\r\n" );
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document.write( "The roots are  t= 0  and  t= 2.    (They are time moments, when the ball is at the ground level).\r\n" );
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document.write( "The maximum is reached at the time moment, which is exactly half-way between the roots: t = 1 second.    ANSWER\r\n" );
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document.write( "The height is maximum at this time\r\n" );
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document.write( "    h(t=1) = -16*1^2 + 32*1 = -16 + 32 = 16  feet.    ANSWER\r\n" );
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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( "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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