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 cr
awls 17.5 mm. What is the magnitude of the ant's displacement?
1 answer:
Answer:
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
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