document.write( "Question 834767: A football is kicked into the air. The equation h=-4.9t(to the power of)2 + 9.8t + 1 expresses the relationship between height (h) and time (t), in seconds.\r
\n" ); document.write( "\n" ); document.write( "a. Determine the maximum height reached by the football.
\n" ); document.write( "b. At what time after the kick is the ball at a height of 5m. \n" ); document.write( "
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A football is kicked into the air. The equation h=-4.9t(to the power of)2 + 9.8t + 1 expresses the relationship between height (h) and time (t), in seconds.\r
\n" ); document.write( "\n" ); document.write( "a. Determine the maximum height reached by the football.
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\n" ); document.write( "h(t) = -4.9t^2 + 9.8t + 1
\n" ); document.write( "It's a parabola. The max ht is the vertex. The vertex is at
\n" ); document.write( "t = -b/2a = -9.8/-9.8 = 1 second
\n" ); document.write( "h(1) = 5.9 meters
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\n" ); document.write( "b. At what time after the kick is the ball at a height of 5m.
\n" ); document.write( "h(t) = -4.9t^2 + 9.8t + 1 = 5
\n" ); document.write( "Solve for t. There are 2 values, one going up, one falling.
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