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We will see a few cases which can elaborate on the relation between time and distance.
![YCIND_220525_3806_motorcycle.png](https://resources.cdn.yaclass.in/6073766e-dc27-4f81-b51d-0f966f51fe5d/YCIND2205253806motorcyclew600.png)
The above figure shows a bike travelling along a straight line away from the starting point \(O\) with uniform speed.
The distance of the bike is measured for every second. The distance and time are recorded, and a graph is plotted using the data. The below graph shows the possible results of the journey.
Case I: If the bike staying at rest, then the distance is constant for every second.
Time(\(s\)) | \(0\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) |
Distances(\(m\)) | \(0\) | \(20\) | \(20\) | \(20\) | \(20\) | \(20\) |
If we plot a graph for the constant distance, we get a straight line, as shown in the below graph.
![YCIND_220525_3806_graph_2.png](https://resources.cdn.yaclass.in/eb35d7b0-9caf-4a0c-8dd2-40a4eab51fdd/YCIND2205253806graph2w400.png)
Case II: The bike travelling at a uniform speed of \(10\) \(\frac{m}{s}\)
Time(\(s\)) | \(0\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) |
Distances(\(m\)) | \(0\) | \(10\) | \(20\) | \(30\) | \(40\) | \(50\) |
![YCIND_220525_3806_graph_1.png](https://resources.cdn.yaclass.in/733687ce-c340-4c6a-bea2-12039f7f66f8/YCIND2205253806graph1w400.png)
Case III: The bike travelling at increasing speed.
Time(\(s\)) | \(0\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) |
Distances(\(m\)) | \(0\) | \(5\) | \(20\) | \(45\) | \(80\) | \(125\) |
![YCIND_220525_3806_graph_3.png](https://resources.cdn.yaclass.in/b5849e06-402c-4d68-b649-f43ee80cf329/YCIND2205253806graph3w400.png)
Case IV: The bike travelling at decreasing speed.
Time(\(s\)) | \(0\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) |
Distances(\(m\)) | \(0\) | \(45\) | \(80\) | \(105\) | \(120\) | \(125\) |
![YCIND_220525_3806_graph_4.png](https://resources.cdn.yaclass.in/8c1fb94d-a8e2-493f-baa8-00995e763c26/YCIND2205253806graph4w400.png)