Question

two students go on a run every morning. student a runs at 9 km/h. student b runs at 7 km/h, traveling westward. given this information, who has a known velocity, student a or student b? can you determine the velocity of the other person? why or why not?

Explanation:

Step1: Recall velocity definition

Velocity is a vector with magnitude and direction.

Step2: Analyze given information

Student A has speed 9 km/h with no direction. Student B has speed 7 km/h west - ward.

Step3: Determine known velocity

Student B has a known velocity as direction (west - ward) and magnitude (7 km/h) are given. Student A only has a speed (magnitude), no direction, so velocity is unknown.

Answer:

Student B has a known velocity because velocity requires both magnitude and direction, and only Student B's information includes both (7 km/h west - ward). Student A's velocity cannot be determined as only the speed (9 km/h) is given without a direction.