if you have access yo a gym or sports hall that will be best to use. this is a fun experiment only and as flatorange stated it will not be 100% accurate. try and do the experiment a 10th or 5th of the scale, this makes working out distances easier. i would recommend 10th scale but finding a 200m+ hall will be hard!
you will need;
-a tool to measure distances
-a model to see, i recommend a 10th scale model boat but any object will do. a cardboard shape will be enough .
-a decent camera with zoom features to take pictures at different zooms
-a couple of right angles triangles perhaps or some way of making the camera exactly 90 degrees.
-some tape for making distance markers
when you have found the most suitable area set your 'ship' up at the furthest end. mark and note the distances at 50m intervals (10 or 25 m if scaling down). set your camera up at aprox the average human height to the scale at the furthest spot and take the best pictures you can at 1x zoom and 8x zoom and 16x zoom. do what you can with the zoom but its important you also add these. repeat these steps at the other distances. document as much as you can, including setting up the experiment and the time of day and year and how hot or cold it is. note as much detail as you possibly can.
prepare your findings and please document them here. you may see that ship sinking anyway because the floor could be uneven but post them anyway. like i said its just for fun and takes little expense to perform as you will already own all the items needed.