document.write( "Question 368989: A tennis ball is rolled down a valley along a slope shaped like a parabola. After t seconds, its height above sea level in meters is modeled by the function h(t)=t^2-8.9t+14. After how many seconds does the ball reach its minimum height? What is that minimum height? Round to the nearest hundredths place and use proper units in your answer. \n" ); document.write( "

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A tennis ball is rolled down a valley along a slope shaped like a parabola. After t seconds, its height above sea level in meters is modeled by the function h(t)=t^2-8.9t+14. After how many seconds does the ball reach its minimum height? What is that minimum height?
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\n" ); document.write( "The min height is at the vertex of the parabola, which is on the line of symmetry, at t = -b/2a = 8.9/2
\n" ); document.write( "t = 4.45 seconds.
\n" ); document.write( "min = h(4.45) = 4.45^2 - 8.9*4.45 + 14
\n" ); document.write( "min =~ -5.803 meters \n" ); document.write( "

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