The acceleration will be positive in which of the following graphs?

(I) and (III)

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(I) and (IV)

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(II) and (IV)

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None of these

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Solution

The correct option is B (I) and (IV)
In figure (I), slope is negative and its magnitude is decreasing with time. It means slope is increasing numerically. So velocity is increasing towards right that means acceleration is positive.
In figure (IV), slope is positive and its magnitude is increasing with time. So velocity is increasing towards right that means acceleration is positive.

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