So our teacher explained to us that there is an optimal angle at which a bottle can be rolled down an incline to achieve ‘maximum’ velocity but i’m not sure how to find the equation to work this out mathematically rather than using just trial and error.

I’m pretty sure that it involves deriving the horizontal and vertical components and has something to do with v=√2gh and that velocity is directly proportional to the√sinΘ.

I’m at a loss here, any help would be appreciated.

Thanks in advance 🙂

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