Four different objects are placed on a number line at 0. The chart describes the motion of each object. Using the information in
the chart, the distance and displacement of each object can be determined. Which object has a distance that is three times as great as its displacement? W X Y Z
2 answers:
The chart with the information to answer this question may be found in other Brainly's link, so I attach it now.
Answer:
- Z
Explanation:
To facilitate the accompaniment of the reasoning, I copy the data here:
Object Motion
X 3 units left, 3 units right
Y 6 units right, 18 units right
W 8 units left, 24 units right
Z 16 units right, 8 units left
The <em>distance</em> is the scalar magnitude that indicates the total length of the path traveled.
The <em>displacement</em> is the vector that indicates how far the end point and the initial point are.
In order to calculate the distance, the displacement and the ratio r = distance/displacement, to check which object has a distance that is three times as great as its displacement, i.e. r = 3, we use this new chart:
Object Motion Distance Displacement ratio
X 3 units left, 3 units right 3 + 3 = 6 3 - 3 = 0 ∞
Y 6 units right, 18 units right 6 + 18 = 24 6 + 18 = 24 1
W 8 units left, 24 units right 8 + 24 = 32 -8 + 24 = 16 2
Z 16 units right, 8 units left 16 + 8 = 24 16 - 8 = 8 3
The ratios were calculated dividing the distance by the displacement: distance / displacement.
For the object Z, that was 24 / 8 = 3. Thus, the object that has a distance that is three times as great as its displacement is the object Z.
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