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if the ant travelled 5 cm east, turn around and cover another 2 cm towards west. what will the ants distance amd displacement. draw in motion

distance:
displacement:​


Sagot :

Answer:

The displacement of the ant : 3√2

Further explanation  

Distance is a scalar quantity that indicates the length of the trajectory that is traveled by an object within a certain interval. Distance has no direction, only has a magnitude  

Can be simplified distance = totals traveled  

Displacement is a vector quantity that shows changes in the position of objects in a certain interval of time. Displacement has magnitude and direction  

Can be simplified displacement = distanced traveled from starting point to ending point  

An ant moves 2 cm east, 3 cm north, 5 cm west, and then goes back to its original position.

From the picture that I attached, it can be determined that the displacement of the ant is the line a, which is the hypotenuse of a right triangle.

So that it can be found with the Pythagorean formula

\begin{gathered}\tt a=\sqrt{b^2+c^2}\\\\a=\sqrt{3^2+3^2}\\\\a=\sqrt{18}\\\\a=3\sqrt{2}\end{gathered}a=b2+c2a=32+32a=18a=32