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Question
question 17 (1 point)
the area under a curve in a velocity versus time graph gives
○ acceleration.
○ velocity.
○ displacement.
○ position.
In a velocity - time graph, the area under the curve is calculated by integrating velocity with respect to time. The formula for displacement ($s$) is given by the integral of velocity ($v$) with respect to time ($t$), i.e., $s=\int v\mathrm{d}t$. Acceleration is the slope of the velocity - time graph (since $a = \frac{\mathrm{d}v}{\mathrm{d}t}$), velocity is the y - axis variable, and position is related to displacement but the area under velocity - time graph directly gives displacement.
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C. displacement.