document.write( "Question 287437: Hello all, I have an interesting problem here that I'm not sure how to solve correctly.
\n" ); document.write( "The problem involves a rocket being shot into the air where H = Height of the rocket in the given equation. I need to solve for certain conditions etc. but dont know how to write out the equations to rearrange.
\n" ); document.write( "Original Equation is: H= -5t^2 + 20t + 15 where H = Height and t = Time.\r
\n" ); document.write( "\n" ); document.write( "a) What is the maximum height reached by the rocket, at what time does this occur?
\n" ); document.write( "b) Find the time(s) when the rocket is 20 metres above the ground.
\n" ); document.write( "c) How long will it take for the rocket to hit the ground?\r
\n" ); document.write( "\n" ); document.write( "Help with any of the above will be most appreciated.
\n" ); document.write( "Thnaks, -Nick.
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Algebra.Com's Answer #208323 by scott8148(6628)\"\" \"About 
You can put this solution on YOUR website!
the equation is a quadratic in t\r
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\n" ); document.write( "\n" ); document.write( "the graph is a downward opening parabola\r
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\n" ); document.write( "\n" ); document.write( "a) H-max is at the vertex of the parabola, which is on the axis of symmetry
\n" ); document.write( "___ general equation for axis of symmetry ___ x = -b / (2a)\r
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\n" ); document.write( "\n" ); document.write( "b) plug in 20 for H and use the quadratic formula to find the values of t, one going up and one coming down\r
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\n" ); document.write( "\n" ); document.write( "c) same as b) except H=0 ___ only the positive value of t is applicable
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