A room has dimensions
3.00 m (height) 3.70 m 4.30 m. A fly starting at one
corner flies around, ending up at the diagonally opposite corner. (a)
What is the magnitude of its displacement? (b) Could the length of
its path be less than this magnitude? (c) Greater? (d) Equal? (e)
Choose a suitable coordinate system and express the components
of the displacement vector in that system in unit-vector notation.
(f) If the fly walks, what is the length of the shortest path? (Hint:
This can be answered without calculus. The room is like a box.
Unfold its walls to flatten them into a plane.)

Question

A room has dimensions
3.00 m (height) 3.70 m 4.30 m. A fly starting at one
corner flies around, ending up at the diagonally opposite corner. (a)
What is the magnitude of its displacement? (b) Could the length of
its path be less than this magnitude? (c) Greater? (d) Equal? (e)
Choose a suitable coordinate system and express the components
of the displacement vector in that system in unit-vector notation.
(f) If the fly walks, what is the length of the shortest path? (Hint:
This can be answered without calculus. The room is like a box.
Unfold its walls to flatten them into a plane.)