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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3 answers
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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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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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1 answer
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On the derivation of the jerk term in tensor notation

The jerk vector $\mathbf{J}(t)$ may be (element-wise) written as $$J^{i} = \frac{d A^{i}}{d t} + \Gamma^{i}_{jk} A^{j}V^{k}~~~~(*).$$ However, I can't correctly get the second term of the RHS above. ...
11 votes
3 answers
348 views

Upper limits for jerk and higher derivatives in physics

Is there an upper limit for jerk in physics? What about higher derivatives? A consequence of special relativity is that no material body can reach or exceed the speed of light in vacuum (due to ...
2 votes
1 answer
196 views

How to determine the minimum "Arrival Distance" given a maximum velocity, acceleration and jerk along with an initial velocity and acceleration?

Problem Given the following: $A$ - maximum acceleration. $J$ - constant jerk (the rate of change of acceleration). $v$ - initial velocity. $a$ - initial acceleration (where, in practice, $a ∈ [-A, A]$...
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1 answer
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Calculating lateral/longitudinal acceleration/jerk

I know how to calculate the lateral and longitudinal velocities given the velocity $v$ and heading angle $\theta$ : $ v_{lat} = v × \ \mathrm{sin} \theta$ $v_{long} = v× \cos \theta$ But does this ...
1 vote
1 answer
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Is SHM an example of a jerk?

So i was wondering if simple harmonic motion (SHM) is an example of a jerk (3th derivative of position)?I think it is a jerk because acceleration is changing with respect to time in SHM. Am i correct?
1 vote
1 answer
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Optimizing for "sudden" change in angular momentum

I'm trying to create an elaborate impossible-to-juggle juggling club, by triggering a sudden change in angular momentum via a mechanism inside of the juggling club while it is in mid-air. The ...
5 votes
2 answers
564 views

Are there experimental observations of the Abraham-Lorentz force?

The Abraham-Lorentz force is the force a classical charged particle particle exerts on itself due to its own electromagnetic field. It has a rather simple formula that reads $$ \vec{F}_\mathrm{AL} = \...
26 votes
7 answers
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What would happen if $F=m\dot{a}$?

What would happen if instead of $F=m \frac{d^2x}{dt^2}$, we had $F=m \frac{d^3x}{dt^3}$ or higher? Intuitively, I have always seen a justification for $\sim 1/r^2$ forces as the "forces being ...
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86 views

How can the jerk tend towards infinity?

Consider a block of mass $m$ kept on a rough surface. A time varying force $F =t$ is applied on the block in a direction parallel to the surface. Assuming the coefficient of static and kinetic ...
1 vote
1 answer
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High order derivatives and their impacts to a system

I'm trying to understand how high-order derivatives (Jerk, Snap, Crack, Pop and onward) impact a system and their implications to analysis. I have used Jerk in the past when considering how "...
15 votes
5 answers
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How do I calculate the distance a ship will take to stop?

I am a River Pilot and drive ships for a living. These ships are very large and range up to 160,000 Metric Tons. I am trying to figure out how to calculate the distance to stopping. I have a basic ...
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Is there a limit to $\frac{d^nx}{dt^n}$? [duplicate]

There is already a question on the limit of acceleration($\frac{d^2x}{dt^2}$) and we all know the limit of velocity($\frac{dx}{dt}$) which is $c$ or the speed of light. My question is a generalized ...
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How to determine the distance travelled before a maximum acceleration is reached given a constant jerk?

Problem Given: An initial velocity and acceleration of 0. A maximum acceleration $A$ A constant jerk $J$ How might one determine the distance $D$ traversed before the maximum acceleration $A$ is ...
1 vote
1 answer
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Speed, acceleration, accelerating acceleration, etc. How do we know where to stop?

I am not a physicist. Suppose a body A is falling towards body B in a vacuum. We know that A's speed will increase. However, as A draws near to B, the force of gravity will increase so the rate at ...
1 vote
1 answer
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What is the jerk parameter in terms of the Density parameters and equation of state?

In cosmology the deceleration parameter defined as the $$q_0 = \frac{1}{2}\sum_i\Omega_{i,0}(1+3w_i)$$ Is there a similar expression for the jerk parameter ($j_0$)?
1 vote
1 answer
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Why forces are functions of time, position and velocity at most? [closed]

I know that there is a quantity called jerk (USA) or jolt (UK) which is the third-order derivative of position (i.e. the first derivative of acceleration). When we write down the second law of Newton, ...
1 vote
1 answer
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Why not consider rate of change of acceleration? [duplicate]

Why do we not consider rate of change of acceleration in the study of linear motion?
5 votes
3 answers
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Is there jerk on Uniform Circular Motion? [duplicate]

I was reading my textbook and I encountered a section where it explains that Centripetal Acceleration is not constant, thus, I wonder if jerk exists in Uniform Circular Motion? The textbook states ...
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1 answer
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Would the jerk of this rocket be constant?

I was working on this interesting problem I came up with for a couple hours and got stuck - decided to ask here. A rocketship with is accelerating upward with constant thrust. Ignoring air resistance ...
3 votes
3 answers
978 views

Understanding a rotational system with centripetal snap, angular jerk, and a third-dimensional tension vector

In a recent experiment in my physics class, we were given the task of finding the experimental rotational moment of inertia in a T-stand with two masses attached to the ends of a certain length. I ...
4 votes
3 answers
158 views

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 ...
2 votes
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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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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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2 answers
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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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Kinematic equation as infinite sum

I'm not sure exactly how to phrase this question, but here it goes: $v=\dfrac{dx}{dt}$ therefore $x=x_0+vt$ UNLESS there's an acceleration, in which case $a=\dfrac{dv}{dt}$ therefore $x=x_0+v_0t+\...
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3 answers
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How to Find Jerk from Discrete Velocity Data?

I have measured the velocity of an object at discrete intervals. I want to find the corresponding acceleration and jerk of the object. How do I do this with discrete values rather than continuous ...
4 votes
2 answers
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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 ...
15 votes
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Is it possible to have a rate of change of acceleration?

I know this may seem a weird question, but it always bothers me. My physics book (Resnick,Halliday,Walker), and also various sites never say anything beyond acceleration. But when a moving body is ...
1 vote
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Is there a physical interpretation of the wave equation with a third (or higher) order time derivative?

In physics we learn about the heat equation, $$ \frac{\partial u}{\partial t} = k \Delta u,$$ which describes how heat propagates in a material. We also learn about the wave equation, $$ \frac{\...
6 votes
1 answer
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What is the highest order physically observable derivative of position?

Are there any physical models that compute higher-order derivatives of position than jerk, snap, crackle, pop, etc.? Can we measure higher-order, non-zero components?
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Areas of physics and physical scenarios where jerk comes up [duplicate]

I am a high-schooler and I learnt that the third derivative of displacement with respect to time$\left(\frac{d^3s}{dt^3}\right)$ is known as jerk. I am curious to know where does this come up in ...
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1 answer
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Is the Hamiltonian of a relativistic charged particle in an electromagnetic field only an approximation?

Consider a system of two relativistic charged point particles 1 and 2 which interact through their electric and magnetic fields. The equation of motion for the first particle is then given by the ...
2 votes
5 answers
3k views

Pushing down on the gas pedal of a car a good example of jerk?

I'm trying to think of the clearest examples to demonstrate the concept of jerk to a layman. Ignoring drag and making other reasonable assumptions (friction is conveniently there to only allow you to ...
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1 answer
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Is The Third Time Derivative of Position Relative, and if it is, Can it be represented in 6 Dimensions?

Einstein’s Theory of Special Relativity only applied to objects at constant velocities. This could be represented in a four dimensional Minkowski Space. From what I understand, Einstein compared ...
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1 answer
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Is impulsive tension called jerk? [closed]

Jerk is derivative of acceleration, is impulsive tension also the same. Or there is nothing like impulsive tension
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Name for the set Displacement, Velocity, Acceleration, etc

Is there a name for the set Displacement, Velocity, Acceleration, Jerk, etc? The only name I can think of is 'Derivatives of displacement (wrt time)' which is rather long.
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Why don't we define time derivative of acceleration? [duplicate]

When we started the study of kinematics we defined position and its change with respect to time. After that we defined time derivative of velocity which gave us acceleration. These 3 concepts really ...
18 votes
5 answers
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Applying energy and momentum conservation to the problem of pulling a bent carpet at a constant speed

Consider this system. A long, thin, pliable carpet is laid on a floor. One end of the carpet is bent back and then pulled backwards with constant speed $v$, just above the part of the carpet ...
2 votes
1 answer
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What is $mass \cdot jerk$, or yank?

So if Momentum is $m \cdot v$, Force is $m \cdot a$, and Jerk is $\frac{\Delta a}{\Delta t}$ what is $m \cdot j$? I've read that the name for this is yank, but I'm curious as to what it is ...
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Does the Jerk (derivative of acceleration) play a significant role in relativity?

In particular, I'm thinking of spaghettification that occurs as an object falls into a black hole (as an extreme example). But what about tidal forces like the tidal heating taking place on Jovian ...
1 vote
4 answers
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Instantaneous changes in acceleration

These are very simple looking graphs. What I don’t understand is (I’m talking of the highlighted text in blue at the bottom), it says such instantaneous changes in acceleration can not occur in ...
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1 answer
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If the jerk is 2, then acceleration is 2t, velocity is $t^2$ and distance is $t^{3}/3$? [closed]

Are my graphs and equations right? I just began learning about these..
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1 answer
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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 $100 \, \mathrm{ms}$. For example an iteration value of 4 means that this is the ...
1 vote
1 answer
206 views

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 ...
6 votes
1 answer
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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 ...
2 votes
1 answer
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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 ...
1 vote
1 answer
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How to calculate the jerk from acceleration data?

I have speed data from the GPS transmitter of a Truck which reports the speed of the vehicle at a fixed time interval. I can calculate the acceleration/deceleration of the truck by doing a $\frac{v_2-...
1 vote
2 answers
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Given Max Speed, Max Acceleration and Jerk - How do I calculate time?

I'm developing some python code that controls an end effector moving in a two-dimensional plane (XY). It moves through a list of points sequentially and I'd like to estimate the time it will take as ...