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# 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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22 votes
8 answers
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### What happens if a slow train hits you?

It's funny, I used to wonder this at school many years ago. For the purposes of discussion, imagine there is a big (very massive) cube that slides towards you as you're sitting on the floor. It doesn'...
2 votes
1 answer
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### Right notation for SI units/dimension in polynomial function?

I integrated a jerk-function three times (acceleration, velocity, position) to get the resulting function $s(t)$ for the position. I am not sure how to use the SI units or dimension in the function. ...
3 votes
0 answers
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### How do I define the initial jerk and yank of a cylinder subjected to impact of a rigid body at it's base?

I am trying to solve an axisymmetric longitudinal wave propagation problem during the impact (collision) of a rigid body and the base of a cylinder. On one end the cylinder is rigidly bound to the ...
0 votes
0 answers
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### About jounce (snap)

About jounce (snap). So change in acceleration is know as jerk, so like this is still imaginable but what is change in jerk, like can you give some real life example where that is happening.
-1 votes
1 answer
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### The jerk that happens when going from linear to circular motion [closed]

Im trying to calculate the force applied to the end of a beam when going from a linear motion to a circular motion. I have a tractor with a beam of each side with a length "L" The tractor is ...
1 vote
1 answer
186 views

### Vertical movement of an object with gravitational acceleration not constant

I don't know how to start, but i will give you some context: Let's say that we have a body that we want to vertically propel at a distance of $h_f=10$ km of it's original spot considering that the ...
0 votes
1 answer
392 views

### Is the jerk caused by pseudo force when bus come to stop suddenly?

If a bus stops moving suddenly, we tend to fall forwards due to the inertia of motion of our upper body. But can we explain the sudden jerk in the forward direction due to some pseudo force? (Because ...
0 votes
2 answers
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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 ...
0 votes
1 answer
269 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 ...
-1 votes
1 answer
242 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
0 votes
0 answers
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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 ...
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11 votes
3 answers
458 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 ...
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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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0 votes
1 answer
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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 ...
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19 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 ...
• 417
1 vote
5 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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-2 votes
1 answer
289 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..
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0 votes
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 ...
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5 votes
2 answers
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### 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} = \...
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1 vote
1 answer
601 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 ...
3 votes
1 answer
2k 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 ...
9 votes
1 answer
658 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 ...
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2 votes
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-...
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1 vote
2 answers
4k views

### 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 ...
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2 votes
1 answer
131 views

### High order (>3) derivatives measurements

Is it possible to directly measure derivatives of higher order than 3? It can be jerk for instance. By "directly" I assume that we can measure a signal proportional to the jerk value without ...
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3 votes
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 ...
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