Two velocity vectors are added: one of magnitude 2.0 m/s and one of magnitude 4.0 m/s. Not knowing the respective directions, we can say that the magnitude of the sum of the vectors will be
A) 6.0 m/s.
B) between 6.0 m/s and 2.0 m/s.
C) between 6.0 m/s and 4.0 m/s.
D) less than 2.0 m/s.
E) 2.0 m/s.

Question

Quizplus · Accepted Answer

The magnitude of the sum of two vectors depends on their directions. If they are in the same direction, their sum is the maximum possible, which is 6.0 m/s. If they are in opposite directions, the sum is the difference, which is 2.0 m/s. Therefore, the magnitude of the sum must be between 2.0 m/s and 6.0 m/s, not knowing the exact directions.

Two Velocity Vectors Are Added: One of Magnitude 2