Who Discovered the Formulas for Momentum and Impulse?

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The formulas for momentum and impulse are derived from Newton's second law, with historical contributions from figures like Galileo and Descartes. Ibn Sina, who lived around 1000 AD, is also noted for his early understanding of momentum, which he referred to as "impetus," linking it to weight and velocity. His ideas are recognized as foundational to the modern concept of momentum. The discussion highlights the evolution of these concepts over time, emphasizing the contributions of various thinkers. Understanding the historical context enriches the appreciation of momentum and impulse in physics.
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Hey, I registered on here just for this question. I will be posting here regularly though.
I want to know who discovered the formulas for momentum and impulse. That's all I really want to know. It would be nice if someone would reply to this, thanks.
 
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CrazyGuy2216 said:
Hey, I registered on here just for this question. I will be posting here regularly though.
I want to know who discovered the formulas for momentum and impulse. That's all I really want to know. It would be nice if someone would reply to this, thanks.

The impulse - momentum relation is derived from Newton's second law. This pretty much answers your question, I'd say.
 
It is not clear to me up to what point Galileo already knew about momentum being m x v.
Also Descartes had a role in it.

It even goes back earlier according to a reference on a Wikipedia entry (momentum), Ibn Sina who lived around the year 1000 ad. :

A. Sayili (1987), "Ibn Sīnā and Buridan on the Motion of the Projectile", Annals of the New York Academy of Sciences 500 (1), p. 477–482:

"Thus he considered impetus as proportional to weight times velocity. Avicenna was later to be given the title of the father of momentum. In other words, his conception of impetus comes very close to the concept of momentum of Newtonian mechanics."

(I didn't check this)
 
I have recently been really interested in the derivation of Hamiltons Principle. On my research I found that with the term ##m \cdot \frac{d}{dt} (\frac{dr}{dt} \cdot \delta r) = 0## (1) one may derivate ##\delta \int (T - V) dt = 0## (2). The derivation itself I understood quiet good, but what I don't understand is where the equation (1) came from, because in my research it was just given and not derived from anywhere. Does anybody know where (1) comes from or why from it the...
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