# Graphing acceleration/time, jerk/time

## Main Question or Discussion Point

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?

## Answers and Replies

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a/t a/t is called "jerk", or change in acceleration.
You mean "da/dt" the time derivative of acceleration.
(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.