Get a friend in Perth. Ring him up. Tell him to watch the sunset. Ask him the exact moment (well, near enough will be fine) as to when the sun dips below the horizon. Surprisingly, this will be about 2 hours after it disappears below the horizon in Melbourne.
If you have more than one friend, you can call a mate in New Zealand, or England, or USA and see what they say. Of course, they may all be in on the scam as well (can't trust anybody!).
You ask for something you can try at home. Well, that's hard because the earth is VERY BIG. That's why it's hard to see the curve. For most people, for most of history, it doesn't matter a damn whether the earth is round or flat, because it doesn't affect their everyday lives. It's only when you get into areas like long-distance travel, communications, weather systems (including seasons), etc that it matters.
Most small-scale experiments 'that I can try at home' - will be so small so as not to be sufficiently precise to observe the effect of a round earth. For example, you could build a Foucault pendulum. But the effect on the motion by the earth's rotation is so slow and gradual, it will be swamped by such things as traffic vibration, footsteps around the house, adverse movements when you set it going, and even vibrations from sound. That's why most Foucault pendulums are VERY BIG (there's a good one in Canberra's Scienceworks).
Mind you, the Earth is so VERY BIG there is no way you can prove it is flat from your own home, either. It could just as easily be shaped like a banana. Go ahead - prove it isn't (pretty hard to do from your house). And if you lead a very small life - it doesn't matter.
. When i said some of the" better proof for the pear shaped earth was flight paths" ... i was assuming you were correct in the flight paths you had presented to us. I had better start researching it as it seems you prone to error.
