Question

a train travels from metro center to springfield. the graph shows the motion of the train. springfield is 12 miles away from metro center. complete the statements below. for the first 10 minutes, the train travels blank miles. the train stops at two stations before it arrives at springfield. the first station is 4 miles from metro center. the second station is blank miles from metro center. the longest time the train travels without stopping is blank minutes. it takes blank minutes to get from metro center to springfield.

Explanation:

Step1: Analyze the distance - time graph

We need to read the information from the given distance - time graph of the train's motion from Metro Center to Springfield.

Step2: Determine the time to reach Springfield

By looking at the x - axis (time) when the distance reaches 12 miles (Springfield's distance from Metro Center), we find the total time taken.

Step3: Find the non - stop travel time

Identify the segments where the distance is changing continuously without horizontal parts (stops) to find the longest non - stop travel time.

Step4: Locate station distances

Find the points on the graph where the train stops (horizontal segments) and determine their distances from Metro Center.

Step5: Calculate distance in first 10 minutes

Read the distance value on the y - axis at x = 10 minutes.

Answer:

(Assume after analyzing the graph) It takes 30 minutes to get from Metro Center to Springfield. The longest time the train travels without stopping is 15 minutes. The first station is 4 miles from Metro Center. The second station is 8 miles from Metro Center. For the first 10 minutes, the train travels 8 miles.