Problem

This distance-time graph shows part of the journey of a boat.

What was the speed of the boat between 40 and 60 seconds after starting?
Give your answer in metres per second (m/s) and give any decimal answers to 1 d.p.

Answer

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Answer

So, the speed of the boat between 40 and 60 seconds after starting is 5 meters per second.

Steps

Step 1 :From the graph, we can see that at 40 seconds, the boat has traveled 200 meters, and at 60 seconds, the boat has traveled 300 meters.

Step 2 :So, the distance the boat traveled between 40 and 60 seconds is 300200=100 meters.

Step 3 :The time taken for this part of the journey is 6040=20 seconds.

Step 4 :The speed of the boat during this time is the distance traveled divided by the time taken, which is 10020=5 meters per second.

Step 5 :So, the speed of the boat between 40 and 60 seconds after starting is 5 meters per second.

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