Final answer:
The train's average velocity is calculated by dividing the total displacement (55 km south) by the time taken in hours (34 minutes converted to hours). The correct answer is D) 97 km/h south.
Step-by-step explanation:
To find the train's average velocity, we need to use the formula average velocity = total displacement / total time. In this case, the train's displacement is 55 km south, and the time taken is 34 minutes, which we need to convert to hours to match the units of displacement (1 hour = 60 minutes, hence 34 minutes = 34/60 hours).
So, if we convert 34 minutes to hours, we get 34/60 = 0.5667 hours. Next, calculating the average velocity: 55 km / 0.5667 h = 97 km/h. Furthermore, since the velocity is in a specific direction, south, it is a vector quantity and the direction must be included in the final answer. Therefore, the correct answer is D) 97 km/h south.