Physics

When a container of liquid accelerates, the liquid surface tilts because the effective gravity shifts—it's no longer purely vertical, but now points at an angle combining real gravity $g$ downward with the pseudo-force $a$ backward. The pressure difference between any two points depends on the height difference measured along this new effective gravity direction. You'll need to find how the liquid surface reorients, then calculate the vertical height difference between your two corners to apply the hydrostatic pressure formula $\Delta P = \rho g \Delta h$.

When a container of liquid accelerates, the liquid surface tilts because the effective gravity shifts—it's no longer purely vertical, but now points at an angle combining real gravity $g$ downward with the pseudo-force $a$ backward. The pressure difference between any two points depends on the height difference measured along this new effective gravity direction. You'll need to find how the liquid surface reorients, then calculate the vertical height difference between your two corners to apply the hydrostatic pressure formula $\Delta P = \rho g \Delta h$.