(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A room has dimensions 3.15 m (height) 3.85 (width) m 4.10 (length) m. A fly starting at one corner flies around, ending up at the diagonally opposite corner.

(a) What is the magnitude of its displacement? (solved and got 6.45m)

(b) Could the length of its path be less than this magnitude?

(c) Could the length of its path be greater than this magnitude?

(d) Could the length of its path be equal to this magnitude?

(e) Take xyz axes so that the x axis is parallel to the width, the y axis is parallel to the length, and the z axis is parallel to the height. Express the components of the displacement vector.

(f) If the fly walks rather than flies, what is the length of the shortest path it can take? (Hint: This can be answered without calculus. The room is like a box. Unfold the walls and flatten them into a plane.)

2. Relevant equations

|A| = sqrt(A^2+B^2+C^2)

3. The attempt at a solution

I don't even know where to begin with this problem . . .

So far all I've got is the displacement is 6.45m, which is correct.

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# Homework Help: Magnitude of Displacement problem

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