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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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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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2answers
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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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1answer
70 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 ...
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1answer
55 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 ...
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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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467 views

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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162 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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27 views

Which is the degree of continuity of physical motion?

In absence of quantum or relativistic phenomena, which is the degree of continuity of possible physical motions in Newtonian Physics? As far as I understand, if we consider the Newton's second law ...
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54 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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Physical applications of third degree equations [duplicate]

It is well known that in order to solve the problem of finding the time such that a projectile launched at some initial velocity and with a certain angle attain a given altitude $h$ can be solved as a ...
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1answer
310 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 ...
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1answer
64 views

Can the jerk diverge?

In other words can the acceleration change instantly? In direction and/or magnitude. There are two aspects to this question. In a problem, can you treat acceleration as changing instantly? (when in ...
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How to find acceleration in this rectilinear movement? [closed]

$$x = A + Bt + Ct^2 + Dt^3 $$ where $$C = 0.14~\rm m/s^{2} $$ and $$D = 0.01~\rm m/s^{3} $$ After how much time after the start of movement does the acceleration become 1 m/s^2 and what is the ...
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48 views

What would be different if forces gave rise to velocity or jerk?

The way I understand it, force gives rise to acceleration. The integral of acceleration is velocity, and the integral of velocity is position. What if forces gave rise to velocity directly? Or what ...
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0answers
39 views

Can there be true instantaneous/stepped acceleration? [duplicate]

The time derivative of acceleration (m/s²) is jerk (m/s³). I know that when you push on an object, there cannot be true instantaneous acceleration, which leads to infinite jerk, because the object ...
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159 views

Can gravity induce any jerk?

The equivalence principle states that constant acceleration inside a closed elevator is indistinguishable from gravitational force. But prior to its reaching constant acceleration, any elevator has ...
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1answer
120 views

Is the four-jerk time-like or space-like?

In the paper Dynamics of a Charged Particle the author claims after equation (10): However, this equation is mathematically inconsistent because both $\dot v^\mu$ and $\dot F^\mu$ are spacelike ...
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157 views

Experimental limit on Newtonian mechanics not to depend on third derivative [duplicate]

We know that newtonian mechanics is described by a set of second order differential equations. This leads also to the principle of determinism that every trajectory is determined by initial conditions ...
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888 views

Jerk and Snap in Circular Motion

I can understand the physical existence of centripetal acceleration, the orthogonality of that with the linear (tangential) velocity - but how to physically understand jerk and snap in case of uniform ...
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A question about snap, crackle and pop [duplicate]

I understand that the terms snap, crackle and pop aren't exactly official terms but I needed a compact title about various derivatives of position with time. A body at rest has all it's time ...
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2answers
452 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 ...
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1answer
102 views

What do we call the changes of acceleration? [closed]

Our teacher told it but I don't remember the name of acceleration changes? I mean the differental of displacement-acceleration equation what does it give to us?
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Why do the derivative of the acceleration (and subsequent derivatives) not play a significant role in physics? [duplicate]

During high-school and college I modeled all dynamic mechanical systems with displacement, velocity and acceleration. This was more than enough to address the systems and determine their behavior in ...
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2answers
687 views

Can there be rate of change of force or rate of rate of change of force? [duplicate]

Is there a rate of change force? I know that net force is rate of change of momentum or mass *acceleration. But is there rate of change of force or (mass * jerk) ? or Rate of rate of change ...
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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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1answer
481 views

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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247 views

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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1answer
452 views

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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375 views

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 ...
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0answers
38 views

Position, velocity, acceleration, jolt, and [duplicate]

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 ...
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2answers
243 views

Relationship between velocity and position due to constant jerk proof check [closed]

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=\...
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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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404 views

Force felt by parachutist when opening the parachute [closed]

When falling down with air resistance, y-axis vertical (positive is up), x-axis is horizontal, we have that: $F_y=-mg-kv=ma_y$, where $k$ is the drag coefficient. Now if the man opens the parachute, ...
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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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Higher order versions of momentum? Can conservation principles be established and used? [closed]

Question Can higher order derivatives of momentum be useful in creating theories of dynamics if they have conservation principles? Even if they aren't needed, could it be done in theory? For instance,...
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235 views

How to sensor Jerk=$d^3{\bf r}/dt^3$, or higher derivatives (4th, 5th, 6th order) when applied in the equation of motion of a ballistic missile?

Given a 6th order differential equation of motion as usually used in ballastic missile dynamic models. What kind of sensors are usually used to measure Jerk, (or higher order derivatives in kinematics)...
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1answer
533 views

finding velocity along a curve with kinematic equations using time

(i'm "not" looking for coding help. i need help setting up the math.) i'm writing a program for a physics class to find the velocity of an object across a random curve. where the only force acting on ...
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5answers
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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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1answer
585 views

Constant Jerk Relativistic Rocket [duplicate]

A quick google search will give many helpful pages and calculators regarding constant acceleration relativistic rockets, but my question is somewhat different. What if jerk is the parameter to be ...
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3answers
114 views

Instantaneous cause [closed]

The position of an object has a rate of change called velocity. The velocity of an object has a rate of change called acceleration. Force applied is proportional to the acceleration of the body (...
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695 views

Appearance of the Jerk Term in Dynamics of Mass-Spring-Damper System

I am coming from the computer science territory and have not a long trace in mechanics. My background in derivation of the system dynamics could be summarized with utilization of the ...
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3answers
4k views

How are the higher derivatives (jerk, jounce) of position with respect to time used in physics?

I don't see them much in any physics lesson or course, but that's probably because I'm not into physics as much. I can understand why velocity and acceleration are useful, but why would someone want ...
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2answers
831 views

Computing distance traveled from jerk

When dealing with higher time derivatives like jerk, how does one find the distance traveled? Can it be calculated by just knowing time?
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2answers
189 views

Why isn't all of physics based on other rates of change [duplicate]

Define the jolt/jerk to be $$J(f)={{d^3 f} \over {dt^3}}$$ Why don't we use the concept of jolt more often considering that the change in acceleration is most definitely an important characteristic ...
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4answers
2k views

Is there any such thing as a change in acceleration (ex: 3 m/s/s/s)? [duplicate]

If there exists something like that, then in $distance/time/time/time$, how is it expressed?
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1answer
652 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 ...
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3answers
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Why don't we consider jerk in physics classes? [duplicate]

When I got more into physics, I started asking myself if just like acceleration represents the growth of speed, something else could also represent the growth of acceleration itself. And it came that ...
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1answer
8k views

What are the equations for motion with constant jerk?

Every one knows the three famous equations for motions with constant acceleration . But what if the motion were having a jerk? How should then be the equations for motions? How can I find them?
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High speed does not kill. Does acceleration do it ? or jerk?

In a recent question the OP asked why high speed will not kill us. The accepted answer, highly upvoted, stated very first that Speed doesn't kill us, but acceleration does. The second answer (...