# 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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108 views

### 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?
144 views

### 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, ...
1 vote
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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. ...
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 ...
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, $a ∈ [-A, A]$...
67 views

### 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
124 views

### 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
36 views

### 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 ...
564 views

203 views

### 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?
20 views

### 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 ...
974 views

### 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 ...
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 ...
177 views

### 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 ...
115 views

### Is impulsive tension called jerk? [closed]

Jerk is derivative of acceleration, is impulsive tension also the same. Or there is nothing like impulsive tension
35 views

### 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 ...
2k views

### 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 ...
166 views

### 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 ...
109 views

### 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
716 views

### 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 ...
191 views

### 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..
1k views

### 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
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 ...
488 views

### 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 ...
643 views

### 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