Practice Displacement in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
The straight-line change in position from start to end, with both a distance and a direction.
Where you ended up relative to where you started—direction and distance combined.
Example 1
easyA person walks 5 m east and then 5 m west. What is their displacement?
Example 2
mediumA robot moves from point A(1, 2) to point B(4, 6). Find the displacement vector and its magnitude.
Example 3
easyA car drives 3 km north, then 4 km east. What is the magnitude of the total displacement?
Example 4
hardA particle undergoes three displacements: \vec{d_1} = (2, -1), \vec{d_2} = (-3, 4), \vec{d_3} = (1, 2). Find the net displacement vector and its magnitude.