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the most important thing about forces you can use to get better at badminton is being able to control how hard you hit the shuttlecock if you can consistently hit it with just the right force, whether it be hard to spike or soft to get it over the net.

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one way newtons first law goes into effect when playing badminton is when hitting the shuttlecock itself, as when you hit it you stop its motion/inertia and send it flying/moving in the direction you hit it.

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one way newtons second law goes into play in the fact of the shuttle cock itself, the shuttlecock is built to be low in mass so the the force of the racket hitting the shuttlecock will cause it to accelerate much faster then if it had more mass like in tennis with a tennis ball

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in badminton one way that newtons third law affects you is when you are running around the court trying to hit the shuttlecock, there can be a lot of force vs friction happening when your running around due to having to change directions a lot during the game

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inertia - the shuttlecock experiences a lot of changed inertia throughout the game

gravity - the way the shuttlecock is made it is very inclined to fall due to the force of gravity

acceleration - the shuttlecock experiences acceleration a lot during a game when its being hit back and forth or slowing down due to the way the shuttlecock is designed

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there's not many ways friction is used in badminton, but it is still very important because in badminton you have to move around a LOT because you have to keep hitting the shuttlecock to the other side of the net and its very important that your shoes have a lot of friction so that when your changing directions you move reliably and don't slide around

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there's one very important thing in a game of badminton that is affected by mass, and that would be the shuttlecock. the way the shuttlecock is designed, it is made with very little mass because you want the shuttlecock to go very fast in the air to keep the game going but also keep the other team on their toes.