Such a jerk!

Consider an object on which a non-constant force is applied. If it has initial velocity as 5m/s5 m/s, initial acceleration of 5m/s25 m/s^{2} & a jerk of 5m/s35 m/s^{3}. Find the distance the body travels in 12 seconds.

Details and assumptions
Jerk (J) is the rate of change of acceleration/the third derivative of displacement.

This problem is a part of my set The Best of Me

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