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Question:
draw position time graph for a body moving with a)positive velocity b)positive acceleration
Answer:

Positive velocity 

The question needs to be carefully read as it is asking for position-time graph which is displacement-time graph. As we need a positive velocity, the displacement is seen to increase with time

Positive accelaration

s we need a positive accelaration, the velocity-time graph should have a positive slope for positve accelaration. Hence, the corresponding Displacement-time graph is as shown above. The curve indicates that it is not constant accelaration

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