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Question
deena made a chart to summarize features of a velocity vs. time graph for objects with constant acceleration and objects with constant velocity.
| constant acceleration | constant velocity |
|---|---|
| find displacement by subtracting the area of the triangle from the area of the rectangle under the line | find displacement using the area of the rectangle under the line only |
| find acceleration by finding the slope of the line | find velocity by locating the values plotted on the y - axis |
which best describes deenas error?
o the line for constant velocity is not horizontal; it is diagonal and slopes downward.
o the area of the rectangle and the triangle under the line should be added together for constant acceleration
o find acceleration by finding the area of the rectangle above the line.
o find velocity by calculating the slope of the line.
In a velocity - time graph for an object with constant acceleration, to find displacement, the area of the triangle and the rectangle under the line should be added together (not subtracted as stated by Deena). The other statements about constant acceleration and constant velocity in the chart are correct. For constant acceleration, the line is diagonal and straight and acceleration is the slope of the line. For constant velocity, the line is horizontal and velocity is read from the y - axis.
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The area of the rectangle and the triangle under the line should be added together for constant acceleration