An ant is crawling on the sidewalk. at one moment, it is moving south a distance of 12.4 mm. it then turns due southwest (and crawls 17.5 mm. what is the magnitude of the ant's displacement?

The ant's displacement = 21.45 mm

Explanation:

Displacement: This can be defined as the distance moved by a body in a specific direction. The S.I unit of displacement is meter (m). Displacement is a vector quantity. and as such the result of two displacement can be calculated by any of the vector method.

From the attachment,

Note: the ant's displacement forms a right angled triangle.

Thus,

R² = a² + b².................. Equation 1

Where a = 12.4 mm, b = 17.5 mm.

Substituting into equation 1

R² = 12.4² + 17.5²

R² = 153.76+306.25

R² = 460.01

R =√(460.01)

R = 21.45 mm

Thus the ant's displacement = 21.45 mm

the answer is d. 4

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