Newton's Second Law of Motion/Also presented as

Newton's Second Law of Motion: Also presented as

Newton's Second Law of Motion is also seen presented in the form:

$\ds \mathbf F$

$=$

$\ds m \dfrac {\d \mathbf v} {\d t}$

$\ds $

$=$

$\ds m \mathbf a$

where $\mathbf a$ denotes acceleration

which is not its most general form, as it assumes constant mass.

Indeed, as Isaac Newton himself put it:

The acceleration produced by a particular force acting on a body is directly proportional to the magnitude of the force and inversely proportional to the mass of the body.

Sources

1966: Isaac Asimov: Understanding Physics ... (previous) ... (next): $\text {I}$: Motion, Sound and Heat: Chapter $3$: The Laws of Motion: Mass
1972: George F. Simmons: Differential Equations ... (previous) ... (next): $1$: The Nature of Differential Equations: $\S 1$: Introduction: $(1)$
1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): mass
1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): momentum (linear momentum) (plural momenta)
1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Newton's laws of motion
2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): mass
2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): momentum (linear momentum) (plural momenta)
2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Newton's laws of motion
2008: Ian Stewart: Taming the Infinite ... (previous) ... (next): Chapter $8$: The System of the World: Newton
2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): constant (in physical laws)
2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): Newton's laws of motion