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 $(\mathrm{m} / \mathrm{s})$ and give any decimal answers to 1 d.p.

Solution

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 \(300 - 200 = 100\) meters.

Step 3 :The time taken for this part of the journey is \(60 - 40 = 20\) seconds.

Step 4 :The speed of the boat during this time is the distance traveled divided by the time taken, which is \(\frac{100}{20} = 5\) meters per second.

Step 5 :So, the speed of the boat between 40 and 60 seconds after starting is \(\boxed{5}\) meters per second.

From Solvely APP
Source: https://solvelyapp.com/problems/26640/

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