$[$JA plunger is fitted to a vertical pipe filled with water. The lower end of the pipe is submerged in a sump. If the plunger is drawn up with an acceleration of $5\mathrm{.}0$ m$/$s$\text{'},$ find the maximum height above the water level of the sump at which the plunger will work without cavitation. Assume atmospheric pressure $=10\mathrm{.}0$ m $($abs$).$ Limiting pressure from cavitation consideration $=2\mathrm{.}0$ m $($abs$).$ Take acceleration of gravity as $10$ m$/$s$?$