en_tn_condensed/act/27/18.md

We took such a violent battering by the storm

This can be stated in active form. AT: "The wind blew us roughly back and forth that all of us were badly battered and bruised by the storm" (See: rc://en/ta/man/translate/figs-activepassive)

they began throwing the cargo overboard

"they" is the sailors. This is done to lighten the weight of the ship in an effort to prevent the ship from sinking.

cargo

Cargo is something that a person transports from one place to another by boat. See how you translated this in Acts 27:10. AT: "goods on the ship"