4 replaced http://math.stackexchange.com/ with https://math.stackexchange.com/ edited Apr 13 '17 at 12:19 You can keep on adding higher order derivatives until they become vanishingly small. A convenient point of entry to this topic would be the Wikipedia article Jerk (physics). Bear in mind that when you're in a car, jerk is only of relevance during the time when the accelerator pedal is actually moving, to a first-order approximation. Update: It seems a question with a great deal of relevance to yours was posed a few hours ago on math.se - What is an example of an application of a higher order derivative ($$y^{(n)}$$, $$n≥4$$)?What is an example of an application of a higher order derivative ($$y^{(n)}$$, $$n≥4$$)?. Arturo's answer expands on higher derivatives in kinematics (jounce!), whilst Greg's answer includes a source of jerk in driving I didn't consider (steering). You can keep on adding higher order derivatives until they become vanishingly small. A convenient point of entry to this topic would be the Wikipedia article Jerk (physics). Bear in mind that when you're in a car, jerk is only of relevance during the time when the accelerator pedal is actually moving, to a first-order approximation. Update: It seems a question with a great deal of relevance to yours was posed a few hours ago on math.se - What is an example of an application of a higher order derivative ($$y^{(n)}$$, $$n≥4$$)?. Arturo's answer expands on higher derivatives in kinematics (jounce!), whilst Greg's answer includes a source of jerk in driving I didn't consider (steering). You can keep on adding higher order derivatives until they become vanishingly small. A convenient point of entry to this topic would be the Wikipedia article Jerk (physics). Bear in mind that when you're in a car, jerk is only of relevance during the time when the accelerator pedal is actually moving, to a first-order approximation. Update: It seems a question with a great deal of relevance to yours was posed a few hours ago on math.se - What is an example of an application of a higher order derivative ($$y^{(n)}$$, $$n≥4$$)?. Arturo's answer expands on higher derivatives in kinematics (jounce!), whilst Greg's answer includes a source of jerk in driving I didn't consider (steering). 3 update edited Oct 11 '11 at 11:21 Richard Terrett 2,14311 gold badge1414 silver badges2222 bronze badges You can keep on adding higher order derivatives until they become vanishingly small. A convenient point of entry to this topic would be the Wikipedia article Jerk (physics). Bear in mind that when you're in a car, jerk is only of relevance during the time when the accelerator pedal is actually moving, to a first-order approximation. Update: It seems a question with a great deal of relevance to yours was posed a few hours ago on math.se - What is an example of an application of a higher order derivative ($$y^{(n)}$$, $$n≥4$$)?. Arturo's answer expands on higher derivatives in kinematics (jounce!), whilst Greg's answer includes a source of jerk in driving I didn't consider (steering). You can keep on adding higher order derivatives until they become vanishingly small. A convenient point of entry to this topic would be the Wikipedia article Jerk (physics). Bear in mind that when you're in a car, jerk is only of relevance during the time when the accelerator pedal is actually moving, to a first-order approximation. You can keep on adding higher order derivatives until they become vanishingly small. A convenient point of entry to this topic would be the Wikipedia article Jerk (physics). Bear in mind that when you're in a car, jerk is only of relevance during the time when the accelerator pedal is actually moving, to a first-order approximation. Update: It seems a question with a great deal of relevance to yours was posed a few hours ago on math.se - What is an example of an application of a higher order derivative ($$y^{(n)}$$, $$n≥4$$)?. Arturo's answer expands on higher derivatives in kinematics (jounce!), whilst Greg's answer includes a source of jerk in driving I didn't consider (steering). 2 note about period of applicability of jerk edited Oct 11 '11 at 10:50 Richard Terrett 2,14311 gold badge1414 silver badges2222 bronze badges You can keep on adding higher order derivatives until they become vanishingly small. A convenient point of entry to this topic would be the Wikipedia article Jerk (physics). Bear in mind that when you're in a car, jerk is only of relevance during the time when the accelerator pedal is actually moving, to a first-order approximation. You can keep on adding higher order derivatives until they become vanishingly small. A convenient point of entry to this topic would be the Wikipedia article Jerk (physics). You can keep on adding higher order derivatives until they become vanishingly small. A convenient point of entry to this topic would be the Wikipedia article Jerk (physics). Bear in mind that when you're in a car, jerk is only of relevance during the time when the accelerator pedal is actually moving, to a first-order approximation. 1 answered Oct 11 '11 at 10:42 Richard Terrett 2,14311 gold badge1414 silver badges2222 bronze badges