Philosophical Studies 110 (1):49 - 67 (2002)

John W. Carroll
North Carolina State University
There is a longstanding definition of instantaneous velocity. It saysthat the velocity at t 0 of an object moving along a coordinate line is r if and only if the value of the first derivative of the object's position function at t 0 is r. The goal of this paper is to determine to what extent this definition successfully underpins a standard account of motion at an instant. Counterexamples proposed by Michael Tooley (1988) and also by John Bigelow and Robert Pargetter (1990) are reinforced and illuminated by considering the presence or absence of changes to the object's motion.
Keywords Philosophy  Velocity  Motion
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Reprint years 2004
DOI 10.1023/A:1019824927383
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A puzzle about rates of change.David Builes & Trevor Teitel - 2020 - Philosophical Studies 177 (10):3155-3169.
Against Pointillisme About Mechanics.Jeremy Butterfield - 2006 - British Journal for the Philosophy of Science 57 (4):709-753.
How Can Instantaneous Velocity Fulfill its Causal Role?Marc Lange - 2005 - Philosophical Review 114 (4):433-468.
Why Physics Uses Second Derivatives.Kenny Easwaran - 2014 - British Journal for the Philosophy of Science 65 (4):845-862.
On Classical Motion.C. D. McCoy - 2018 - Philosophers' Imprint 18.

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