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A room has dimensions 3 m xx4 mxx5m. A f...

A room has dimensions `3 m xx4 mxx5m`. A fly starting at one corner ends up at diametrically opposite corner.
(i) What is the magnitude of its displacement
(ii) If the fly does not fly but walks, what is the length of the shortest path it can take.

Text Solution

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The correct Answer is:
(a) `sqrt(74)` ft (b) component of the displacement vector are 7ft and 3ft

Displacement vector, ` vecr=7hati+4hati+3hatk,`

(a) Magnitude of displancement `sqrt(7^2+4^2+3^2), sqrt(74) ft`, (b)Component of the displacement vector are 7 ft, and 3 ft,.
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