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Distance and Displacement

An insect is ...

Question

An insect is taking rounds around a triangle in anti-cloclwise direction with a speed of $1 m / s$ . The insect starts from A at t = 0. Find its displacement at t = 17 sec.

12 m

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zero

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\sqrt{13}

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5 m

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Solution

The correct option is C $\sqrt{13}$ m

Perimetre is 12 m. After 17 s, it makes one complete rotation and 5 m into the second rotation.
From the figure, the displacement is $\sqrt{3^{2} + 2^{2}} = \sqrt{13} .$

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