# Tagged Questions

Jerk is the third derivative of displacement with respect to time. It is also the derivative of acceleration with respect to time.

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### Using constant snap, what acceleration is required to achieve a desired change in position, with acceleration and velocity bounded

Also assuming you must approach the bounds of acceleration and velocity smoothly -- i.e. their derivatives approach zero as you reach the bounding value. In some cases, you may not reach the bounds ...
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### Calculating jerk vs Fitts law for smoothness

I've tracked the movement of an input method resulting in this dataset. All data is tracked with equal intervals of 100ms. For example an iteration value of 4 means that this is the position of the ...
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### Physics of Auto Crashes and Airbag Modules

I recently saw a post (that was pretty old) asking why we don't consider the jerk function more often in sciences that deal with impacts or sudden accelerations. The general belief was that impacts, ...
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### Jerk Magnitudes and Earthquakes

Destruction from earthquakes depends on many factors, including magnitude, occurrence depth and closeness to epicenter. One measure that may relate destructive force for buildings and infrastructure ...
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### Calculating travel time based on distance, velocities, acceleration, and jerk

Not much physics background so please bare with me. Say we have an object traveling on a straight line going from x to y. We know the starting velocity at x, the velocity when y is reached, the max ...
When I say jerk equation, I mean a differential equation of the form: $\frac{d^{3}x}{dt^{3}} = f\big( x(t), \frac{dx}{dt}, \frac{d^{2}x}{dt^{2}} \big)$ I am doing some work in dynamical systems, ...