# Computing distance traveled from jerk

When dealing with higher time derivatives like jerk, how does one find the distance traveled? Can it be calculated by just knowing time?

• Integration, integration, integration.... – CuriousOne May 3 '15 at 2:36
• You have to solve 3rd order differential equation with initial conditions – Paul May 3 '15 at 2:49
• Why did someone vote to close this? – Jimmy360 May 3 '15 at 3:22
• I didn't. I think it's a legitimate question, even if jerk doesn't occur in too many problems. – CuriousOne May 3 '15 at 4:32

$$p(t) = \iiint j(t) + at^2 + vt + x$$