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Question

The velocity-time graph of a cyclist during a race is given. Find out her total displacement over the course of the race.


A
800 m
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B
1000 m
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C
600 m
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D
200 m
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Solution

The correct option is A 800 m
We know that,
Area under a velocity-time graph = Displacement
Here,
Displacement up to 20 s = ½ × 20 × 20 = 200 m
Displacement between 20 s to 50 s = 20 × 30 = 600 m
Therefore,
Total displacement = (200 + 600) m = 800 m

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