Jake rides Trevor Piggyback IV

Calculus Level 4

It's a beautiful Friday morning. The wind is gently rolling over the hills and the view from the course does not disappoint.

Starting at \((0,0)\), Jake tells Trevor to move in a spiral with the nth move being of length \(\dfrac{1}{n^{2}}\) starting at step \(n = 1\) and continuing to step \(n \rightarrow \infty\) and turning \(90^{\circ}\) clockwise after every move.

What is the straight line distance (magnitude) of the final displacement in meters Trevor and Jake travelled from the origin? Answer to 3 decimal places.

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