An ant on a picnic table travels 3 cm eastward, then 3 cm northward, and finally 8 cm westward. What is the magnitude of the ant's displacement relative to its original position?
A. 4 cm
B. 5 cm
C. 6 cm
D. 7 cm
This is serious question answer it properly this is 100 points. don't waste all my points because I need it to ask some questions
A. 4 cm
B. 5 cm
C. 6 cm
D. 7 cm
This is serious question answer it properly this is 100 points. don't waste all my points because I need it to ask some questions
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Answer:
The magnitude of the ant's displacement relative to its original position is the distance between the ant's starting point and its final point. To find this, we can use the Pythagorean theorem, which states that for a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, the displacement of the ant can be visualized as the hypotenuse of a right triangle, with the eastward and northward movements as the other two sides.
The displacement can be calculated by:
√((3cm)^2 + (8cm)^2) = √(9+64) = √73 = 8.6 ≈ 9 cm
Therefore the magnitude of the ant's displacement relative to its original position is 9 cm. The answer is D. 7 cm (Approximate value)