# How do I calculate the "overall" jerk of my motion stimuli (2D coordinates per frame), kind of a "medium jerk"?

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I'm a psychologist and I'm currently studying physics but, because this is not my field of study, I'm having great difficulties. I'm following the physics movies here and i'm learning a lot (thanks a lot!).

I am currently studying motion and I have to calculate the jerk of my 2D motion data and I don't even know where to start. My data is basically a bunch of coordinates on the x and y axis in ...

I'm a psychologist and I'm currently studying physics but, because this is not my field of study, I'm having great difficulties. I'm following the physics movies here and i'm learning a lot (thanks a lot!).

I am currently studying motion and I have to calculate the jerk of my 2D motion data and I don't even know where to start. My data is basically a bunch of coordinates on the x and y axis in ...

##### 1 Answer

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#### Answer:

#### Explanation

#### Explanation:

This question has not been answered here for almost one year. I will attempt to place my ideas which are as below.

It appears to be a good idea to use the concept of jerk as understood in motion to assess the jerk associated with psychological stimuli.

Before you do so you need to understand that

A

1. Displacement, 2. Velocity 3. Acceleration, 4. Jerk are all vector quantities. This means that each of above has a magnitude and direction attached to it.

Whether psychological stimuli can be considered to be vector quantities or not needs to be understood and stated ab-initio for making a one-to-one comparison.

B. As per definition

Displacement

Velocity

#vecv-=(dvecs)/dt#

Acceleration

#veca-=(dvecv)/dt=(d^2vecs)/dt^2#

Jerk

#vecj-=(dveca)/dt=(d^2vecv)/dt^2=(d^3vecs)/dt^3#

In any equation the vector could be constant or changing with time. For constant vectors which do not change with time, first differential is always zero.

The change could be constant or time dependent. For a constant change, as already stated above first differential is zero whereas for time dependent vector changes first differential will have either constant value or time dependent value.

What you have calculated with the expression

velocity

C.

It will a good idea to start plotting a number of observations in time interval of interest on a graph. The graph will tell you the characteristics of your variable.

For example, a straight line graph between position vector and time indicates, constant or zero velocity (depending on the slope), zero acceleration and zero jerk as shown in the figure below, red and green graphs.

To calculate the value of jerk of stimuli an acceleration-time graph will be required.

Alternatively, for a

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