the bow maths:

1/2mv^2+mgh=springstiffness*deflection=-kdx(bow)

arrow:1/2mv^2+mgh=m*delta velocity aroow=speed *endurance arrow,

factor=(2^n)/2(n is part of the collection of natural numbers)

energy/mass=k^(a+b)=k^n=factor*k^(a=b)log n=burntime

energy=amount*calorific value *burntime

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