Physical laws that affects archery?

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Hooke's law is a key principle affecting archery, as it describes how the deformation of the bowstring relates to the force applied when drawing the string. This law applies to linear-elastic materials, which include the materials used in bow construction. Additionally, the physics of an arrow in flight involves concepts such as projectile motion, drag, and gravity, which influence its trajectory and accuracy. Understanding these principles is essential for improving archery performance and technique. Further research into these physical laws will enhance knowledge of how they impact archery.
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We have this project at school to research about the laws,concepts,principles that affects a certain sport. And the sport given to us was Archery.

I have researched one law that affects archery and that's Hooke's law which : is an approximation that states that the amount by which a material body is deformed (the strain) is linearly related to the force causing the deformation (the stress). Materials for which Hooke's law is a useful approximation are known as linear-elastic or "Hookean" materials.

- Hooke's law affects archery when you pull the string of the bow.

Till now I'm still researching for laws,concepts,principles that affects archery. But I am not familiar of laws. Which is why I'm asking for your help.
 
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What about the physics of the arrow in flight?
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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