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### Theory:

We will see a few cases which can elaborate on the relation between time and distance.

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.

Case II: The bike travelling at a uniform speed of $$10$$ $$m/s$$.

 Time($$s$$) $$0$$ $$1$$ $$2$$ $$3$$ $$4$$ $$5$$ Distances($$m$$) $$0$$ $$10$$ $$20$$ $$30$$ $$40$$ $$50$$

Case III: The bike travelling at increasing speed.

 Time($$s$$) $$0$$ $$1$$ $$2$$ $$3$$ $$4$$ $$5$$ Distances($$m$$) $$0$$ $$5$$ $$20$$ $$45$$ $$80$$ $$125$$

Case IV: The bike travelling at decreasing speed.

 Time($$s$$) $$0$$ $$1$$ $$2$$ $$3$$ $$4$$ $$5$$ Distances($$m$$) $$0$$ $$45$$ $$80$$ $$105$$ $$120$$ $$125$$