Question 1203396
{{{ h=H +v(v/g)-(1/2)g(v/g)^2}}}


{{{ h=H +v^2/g-gv^2/2g^2}}}


{{{ h=H +v^2/g-v^2/2g}}}


{{{ h=H +2v^2/2g-v^2/2g}}}


{{{ h-H =v^2/(2g)}}}


{{{ v^2=(h-H )(2g)}}}


{{{ v=sqrt((h-H )(2g))}}}


{{{ v=sqrt(2(gh-gH ))}}}


{{{ v=sqrt(2)sqrt((gh-gH ))}}}


solutions:


{{{ v = sqrt(2) sqrt(g h - g H)}}}

or

{{{ v = -sqrt(2) sqrt(g h - g H)}}}