Question

The movement of a train traveling on a straight track between two stations is represented in the attached figure.

A) Describe the movement of the train.
B) Indicate how far apart the two stations are.
C) Find the maximum speed the train has reached.
D) Determine the average speed of the train between the two stations.

Answer 1

The train starts from rest, reaches a maximum speed of 100 miles/hour, and then slows down. The average speed can be found by dividing the total distance by the total time.

Step-by-step explanation:

The movement of the train can be described as follows: it starts from rest and speeds up for 15 minutes until it reaches a constant velocity of 100 miles/hour. Then it stays at this speed for half an hour. Finally, it slows down for another 15 minutes until it is still.

The distance apart the two stations is not provided in the information given.

The maximum speed the train has reached is 100 miles/hour.

The average speed of the train can be calculated by considering the total distance traveled. Since the train travels 40 miles one way and 40 miles back, the total distance is 80 miles. To find the average speed, we divide the total distance by the total time taken.