# Graphing acceleration/time, jerk/time

• Ritzycat

#### Ritzycat

I understand that
$a/t$ is called "jerk", or change in acceleration.

What would this graph look like as a qualitative position/time graph? (Assuming constant jerk)

And to take it further, what would a jerk/time graph look as a position/time graph?

Ritzycat said:
a/t a/t is called "jerk", or change in acceleration.
You mean "da/dt" the time derivative of acceleration.
Ritzycat said:
(Assuming constant jerk
A horizontal line.

if (da/dt) is not zero , it would be a horizontal line 'y=a' where 'a' is the value of jerk.
(dv/dt) would be a line with a slope equal to the value of the jerk.
(dr/dt) would similar to x^2 graph.
(r vs t) would be similar to x^3 graph.

## What is acceleration?

Acceleration is the rate at which the velocity of an object changes over time. It is measured in meters per second squared (m/s^2).

## How is acceleration calculated?

Acceleration can be calculated by dividing the change in velocity by the change in time. The formula for acceleration is a = (v2 - v1) / (t2 - t1), where "a" is acceleration, "v2" is the final velocity, "v1" is the initial velocity, "t2" is the final time, and "t1" is the initial time.

## What is a graph of acceleration over time?

A graph of acceleration over time is a visual representation of how an object's acceleration changes over a specific period of time. The x-axis represents time and the y-axis represents acceleration. The slope of the graph represents the object's acceleration at any given point.

## What is jerk?

Jerk is the rate at which an object's acceleration changes over time. It is the third derivative of an object's position with respect to time. Jerk is measured in meters per second cubed (m/s^3).

## How is jerk related to acceleration?

Jerk is related to acceleration because it is the rate of change of acceleration. In other words, jerk measures how quickly an object's acceleration is changing over time. A larger jerk value indicates a more rapid change in acceleration, while a smaller jerk value indicates a slower change in acceleration.