Theory:

Time – Distance Graphs:
  
We will see a few cases which can elaborate the relation between the time and distance.
 
Bike.JPG
 
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 journeys.
 
Case I) If the bike staying at rest then the distance is constant for every second.
If we plot a graph for constant distance we get,
 
Graph3_1.JPG
 
Case II) The bike travelling at uniform speed of \(5\) m/s.
 
Distances(m)
\(0\)
\(5\)
\(10\)
\(15\)
\(20\)
\(25\)
Time(s)
\(0\)
\(1\)
\(2\)
\(3\)
\(4\)
\(5\)
 
graph1.JPG
 
From the above graph we can know that for each second the bike moving \(5\) meters.
 
Similar we can graph with respect to time and distance. If we want calculate the particular distance at certain time we get from the graph.
Reference:
Tamil Nadu text book 7th std science: https://drive.google.com/file/d/1-_TOLPPHJVDUKb67V5dqzy8vW422bgGk/view