Question

Four different objects are placed on a number line at 0. The chart describes the motion of each object.

A 2-column table with 4 rows. The first column labeled object has entries W, X, Y, Z. The second column labeled motion has entries 3 units left, then 3 units right; 6 units right, then 18 units right; 8 units left, then 24 units right; 16 units right, then 8 units left.
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

Answer 1

To determine which object has a distance that is three times as great as its displacement, we need to calculate the distance and displacement for each object and compare them.

For object W:
Distance: 3 units left + 3 units right = 6 units
Displacement: 3 units right - 3 units left = 0 units

For object X:
Distance: 6 units right + 18 units right = 24 units
Displacement: 18 units right - 6 units right = 12 units

For object Y:
Distance: 8 units left + 24 units right = 32 units
Displacement: 24 units right - 8 units left = 16 units

For object Z:
Distance: 16 units right + 8 units left = 24 units
Displacement: 8 units left - 16 units right = -8 units

Based on the calculations, the object that has a distance three times as great as its displacement is object Y.