If you connect your voltage source to ground, that will "zero" it out very quickly! Just joking!!!
It seems like the vi is remembering the last reading. Is your reading connected to an uninitialized shift register? That will make the vi remember the last reading. If so, just wire in a 0 numeric constant into the shift register. If it is a simple control or indicator, you should check to see if 0 is the default value.