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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
 
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
  
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
 
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
 
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