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# Find jerk of time varying force

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This gravitational field we move inside has some distance L after which it becomes 0.Before L it is just like any gravitational field. Suppose we move inside that gravitational field.The acceleration we experience depends on the distance from the planet. $$a\sim\frac{1}{r^2}$$

At t=to we enter the gravitational field and assuming the velocity and acceleration was 0 then:

$$x = x_{0}-\frac{1}{6}j(t-t_{0})^3$$

where j is the jerk or

$$\dot{a}\left(t\right)$$

How can we find the jerk?

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Can't "enter" infinite gravitational field. (4 comments)
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# Comments on Find jerk of time varying force

Can't "enter" infinite gravitational field.
Olin Lathrop‭ wrote about 1 year ago:

Your question makes no sense because you can't suddenly "enter" your gravitational field at t=0. You show yourself that it exists in all space. And then what is supposed to happen to this test object? Is it supposed to just move inertially? This question is too confusing and poorly stated to be allowed to exist here.

MissMulan‭ wrote about 1 year ago:

It is a exercise it is not the real deal. The gravitational field only exists for some r below a limit.

Olin Lathrop‭ wrote about 1 year ago:

But 1: That's not how gravitational fields work, and 2: This is not stated in your question.

MissMulan‭ wrote about 1 year ago:

I will edit the question then

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