A water pipe has a $2\mathrm{.}5$cm diameter and carries water into the basement of a apartment building at a speed of $0\mathrm{.}90$m$/$s and a pressure of $170$kPa. The pipe tapers to $1\mathrm{.}2$cm diameter and rises to the second floor, $7\mathrm{.}6$cm above the input point. What is the water speed at the second floor. What is the maximum height at which the water would still come out of the pipe