document.write( "Question 1137676: Please help with this question.
\n" ); document.write( "Gloria is skeet shooting. The height of the skeet is modelled by the function h(t)=-4.9t^2+32t+2 where h(t) is the height in metres after t seconds. The path of Gloria’s pellet is modelled by the function g(t)=28.5t+1 , with the same units.
\n" ); document.write( "a) How high off the ground will the skeet be when it is hit?
\n" ); document.write( "b) After how many seconds will the skeet be hit? \n" ); document.write( "
Algebra.Com's Answer #755562 by rothauserc(4718)\"\" \"About 
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set g(t) = h(t), and solve for t
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\n" ); document.write( "28.5t +1 = -4.9t^2 +32t +2
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\n" ); document.write( "-4.9t +3.5t +1 = 0
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\n" ); document.write( "use quadratic formula to solve for t
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\n" ); document.write( "t = (-3.5 +square root((3.5)^2 -4 * (-4.9) * 1 ))/(2*(-4.9)) = -0.2187
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\n" ); document.write( "t = (-3.5 -square root((3.5)^2 -4 * (-4.9) * 1 ))/(2*(-4.9)) = 0.933
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\n" ); document.write( "We ignore the negative value for t
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\n" ); document.write( "a) h(t) = -4.9t^2 +32t +2
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\n" ); document.write( "h(0.933) = -4.9 * (0.933)^2 + 32 * (0.933) + 2 = 27.5906
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\n" ); document.write( "The skeet will be 27.5906 metres above the ground when it is hit
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\n" ); document.write( "b) The skeet will be hit after 0.933 seconds by the pellet
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