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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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