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The only information I have is that when a small portion is poured into a cup of unknown volume, it takes 5 seconds for it to reach the bottom. The cup has a height of 12 cm.

I am not sure how to approach this problem. When I was doing a FBD, the only thing I can see to put on it is weight, and buoyancy, but I don't have a mass, volume, or density of the unknown heavy liquid.

The only equation I have that has enough information to fill out is:

pressure = (initial pressure) + (density)(gravity)(height)

That would give me the pressure on the unknown liquid at the bottom, which I can't see how that helps me.

With kinematics, I can find the deceleration necessary, but I can't find the buoyancy force because I don't have the mass.

How should I start this problem?