document.write( "Question 1167023: 20. The height of a football is given ℎ(𝑡)=−4.9𝑡2+18𝑡+0.8 where ℎ(𝑡) is\r
\n" ); document.write( "\n" ); document.write( "the height (in metres) and 𝑡 is the time (in seconds) from when the\r
\n" ); document.write( "\n" ); document.write( "punter kicked the ball. The height of a blocker’s hands is modelled by\r
\n" ); document.write( "\n" ); document.write( "the equation 𝑔(𝑡)=−1.43𝑡+4.26. Can the blocker knock down the\r
\n" ); document.write( "\n" ); document.write( "punt? If so, at what point will it happen? \n" ); document.write( "

Algebra.Com's Answer #791593 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "Regarding this problem, notice that both these formulas describe the projection of the position to the vertical direction.\r\n" );
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document.write( "They do not describe a trajectory of the ball, which is usually a parabola in (x,y)-plane.\r\n" );
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document.write( "In football, it is a rare case, when the ball moves vertically up --- so the question and the problem itself are not very realistic.\r\n" );
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document.write( "If, nevertheless, these circumstances do not embarrass you,  then consider this equation\r\n" );
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document.write( "    -4.9*𝑡^2 + 18𝑡 + 0.8 = -1.43t + 4.26\r\n" );
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document.write( "and solve it for t.\r\n" );
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document.write( "Solving this equation is a mechanical work, so I leave it to you.\r\n" );
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\n" ); document.write( "\n" ); document.write( "In my personal view, the posed problem is not adequate to reality.\r
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