5.6 show your work - complex problems need complex solutions

i used to HATE it when my teachers told me to show my work - why would i slow down and write down steps that are so obvious i could do them in my head? turns out that making physical records of your thinking - even if they're messy! even if you have to redo them! - is really helpful, especially as your work gets more complex. and what's more complex than the work you have to produce in grad school?? 

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5.7 gas will expand to fit the container - boundaries and time

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5.5 objects in motion - ways to get moving