Final answer:
The correct velocity of the motorcycle traveling in the negative direction over 2 hours is -5 km/h, which indicates the direction of motion is opposite to the assumed positive direction.
Step-by-step explanation:
The velocity of a motorcycle traveling 10 km in the negative direction in 2 hours is -5 km/h. Velocity is defined as the displacement divided by the time taken. Since the motorcycle is traveling in the negative direction for 10 km over a period of 2 hours, the velocity can be calculated by dividing the displacement (-10 km) by the time (2 hours), yielding a velocity of -5 km/h. Here, the negative sign indicates the direction of motion, which is opposite to the positive direction, typically assumed to be eastward or rightward on a standard coordinate axis. Therefore, the correct answer to the question is B) -5 km/h.