Final answer:
The vector quantity among the options provided is B. 30 mph northwest because it includes both magnitude (30 mph) and direction (northwest).
Step-by-step explanation:
The student asked, Which of the following is a vector quantity? To answer this, we need to understand that a vector quantity is one that includes both magnitude and direction. When we look at the options given:
- A. 20 mph: This represents speed, which is a scalar quantity because it lacks direction.
- B. 30 mph northwest: This is a vector quantity because it includes both magnitude (30 mph) and direction (northwest).
- C. 30 miles: This is a distance, a scalar quantity since no direction is specified.
- D. 55 m/s: This is speed, a scalar quantity, as no direction is given.
Thus, the correct answer is B. 30 mph northwest, as it is the only option that is a vector quantity.