1. The problem statement, all variables and given/known data For my IB course i have to write an Extended Essay, i will most likely be writing mine in physics (I take physics higher level). I have been having trouble coming up with some ideas on what i could write about, the essay should be 4,000 words max so i need a fairly beefy subject. It would be helpful if the research question is structured in the form of "How is Y dependent on X?" i have also been told that it would be beneficial if the research question is relevant to modern day problems. 2. Relevant equations Not really that relevant here :p 3. The attempt at a solution My first idea was in chemistry, i had the idea to create an alternative form of battery that uses electrolysis to charge, water would be separated whilst charging into H2 and O2, then converted back to water through a hydrogen fuel cell creating a charge. My second idea was in math, the idea was to investigate using different algorithms to create realistic looking terrain, i have experience programming as a hobby so this seemed like the obvious solution, but i am very unlikely to get a good mark on this subject. My third idea was to investigate the properties of water filtering through a pinhole.