Final answer:
The student's average velocity is 2 miles per hour east, calculated by dividing the total displacement (1 mile east) by the total time of the trip (0.5 hours).
Step-by-step explanation:
The student's question involves calculating velocity after a certain bicycle trip. Velocity is a vector quantity that includes both speed and direction. To find the average velocity, we need to consider the total displacement and the total time of the trip.
During the trip described, the student first travels 2 miles east and then 1 mile west. Therefore, the total displacement is 1 mile east (2 miles east - 1 mile west). Since the trip took 0.5 hours, we can find the velocity using the formula velocity = displacement / time.
Velocity = 1 mile east / 0.5 hours = 2 miles per hour east. This is the student's average velocity for the trip.