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You may have heard the story of the race...

You may have heard the story of the race between the rabbit and tortoise. They started from same point simultaneously with constant speeds. During the journey, rabbit took rest somewhere along the way for a while. But tortoise moves steadily with lesser speed and reaches finishing point before rabbit. Rabbit woke up and ran, but rabbit realized that the tortoise had won the race. Draw distance vs time graph for this story.

Text Solution

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1) OX - movement of tortoise.
2) OABC - movement of rabbit
3) Rabbit and tortoise start at 'O'.
4) After time `t_(1)` rabbit is at A and tortoise is at P.
5) Rabbit takes rest up to time `t_(2)`.
6) After time `t_(2)`, tortoise is at Q, but rabbit has no displacement.
7) After time `t_(3)`, the tortiose reaches the destination 'X'.
8) But rabbit reaches the destination after time `t_(4)`.
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