### Theory:

Time – Distance Graphs:

The above figure shows a bike travelling along a straight line away from the starting point (

**red colour flag)**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 is staying at rest, then the distance is constant for every second.

If we plot a graph for the constant distance, we get,

**Case II)**The bike travelling at a uniform speed of \(5\) m/s.

Distances(m) | \(0\) | \(5\) | \(10\) | \(15\) | \(20\) | \(25\) |

Time(s) | \(0\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) |

From the above graph, we can know that for each second, the bike moving \(5\) metres.

Similarly, we can graph the distance travelled by any vehicle/ object with respect to time.

Reference:

Tamil Nadu text book 7th std science: https://drive.google.com/file/d/1-_TOLPPHJVDUKb67V5dqzy8vW422bgGk/view