# Questions tagged [jerk]

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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### What would prevent object from experiencing an infinitely powerful jerk in an instant?

Unlike speed which is capped for anything with rest mass at speed of light in a vacuum, what would prevent an object to undergo infinite acceleration in an instant? I assume in theory if we can apply ...
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### “The state-space for a single particle in classical space is 6-dimensional” — Is this wrong?

The general argument is as follows. By Newton's second law $\mathbf F=m\ddot{\mathbf{x}}$. Now it is said that this is a second-order ODE and hence requires $\mathbf x(0)$ and $\mathbf{\dot{x}}(0)$ as ...
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### Why is jerk/jolt unintuitive as opposed to acceleration and velocity?

Going from position to velocity to acceleration makes sense. But suddenly acceleration to jerk is hard to grasp. Why is that?
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### Change in Acceleration to Elapsed Time

I am designing an algorithm. The problem statement is relatively straightforward. You are given some initial state (initial velocity and initial acceleration) as well as a target acceleration and a ...
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### Kinematic displacement: why not represent higher order rates of change?

I understand that the equation for kinematic displacement is: $x = v_{0x}t+\frac{1}{2}a_xt^2$ Perhaps my understanding is naive, but it seems like this leaves out higher order rates of change. Why ...
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### How are jerk equations connected to chaos theory?

I read in this Wikipedia article: It has been shown that a jerk equation, which is equivalent to a system of three first-order, ordinary non-linear differential equations, is the minimal setting ...
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### Imminent car crash, should I brake? [duplicate]

So I am sitting at traffic lights, stationary, in my car. A drunk driver has crossed over and is about to hit me head on at 40 mph. I only have enough time to do one thing, hit the brakes or leave ...
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### Real world intuitive explanation of Jerk

If $a(t)$ denotes the acceleration of an object, then $a^\prime(t)$ represents the jerk. I'm looking for an intuitive explanation of this phenomena. I'm hoping the following anecdote provides the ...
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### Relativity of Jerk

Popular expositions of general relativity start with a thought experiment showing that it is impossible to distinguish a constantly accelerating frame of reference in a free fall from a free floating ...
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### Do we actully feel a change in acceleration?

Let's say you were in a sports car with your foot to the floor racing at maximum acceleration then all of a sudden you completely stop accelerating and maintain the speed you are going. Would you ...
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### Bidirectional jerk motion on a stopping vehicle

A stopping vehicle (say a car) has an apparent retardation (which may/may not be constant in magnitude) when force via brakes is applied. I travel by subway trains, and I noticed an odd phenomenon. ...
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### What really is force? [duplicate]

I know the second law of Newton says $F=ma$ which seems to me the most fundamental expression of the force. In other words, force cannot exist without a "forced" one. It is somehow a "secondary" being,...
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### How is the Dirac delta function used in classical mechanics? [closed]

If the contact force applied to a physical object (ex. empty bucket) is given by the Heaviside function: $$F(t) = F_0~H(t)=\begin{cases} 0, t<0 \\ F_0, t \geq 0\\ \end{cases}$$ Then,...
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### From a displacement-time table/graph, can one tell whether acceleration or jerk is constant?

Does constant acceleration equal a parabolic graph similar to $y=x^2$, while jerk follows the path of $y=x^3$? I was just thinking about this possibility. We are always told in physics class that ...
I am familiar with the fact that $\displaystyle{\frac{dx}{dt}}=v$, $\displaystyle{\frac{dv}{dt} =a}$, and $\displaystyle{\frac{da}{dt}=J}$ where $J$ denotes the 'jolt', or jerk. Are further ...
In constant accelaration and linear (1D) motion, we can show that relationship between velocity and position is quadratic (parabola) by We can write $v$ in the form of $v=v(x(t))$ \begin{equation} a=\...