My weight is w = mg, but when I weigh myself in an elevator with a normal weighing machine I am surprised to see that it appears to be a different amount $W_{ap}$ . If the coordinate y is measured vertically upward as positive, which of the following statement(s) are true if acceleration of elevator is $\vec{a_{v}}$

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If $a_{v}$ is positive, then $W_{ap}$ will be smaller than w

If the elevator is moving upward, then $W_{ap}$ could be greater than w, but it could also be smaller

If $W_{ap}$ is greater than w, then the elevator is certainly travelling upward

If $\vec{a_{v}} = \vec{g}$ , then $w_{ap} =0$

answer is C, D.

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