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AP Physics C: Mechanics
2.5 Newton’s Second Law
2.1 Systems and Center of Mass
1.3 Representing Motion
Multi-Unit
IntermediateMCQDrawing RepresentationsMathematicalConceptual14.6k
A Cartesian graph with time t in seconds on the horizontal axis and position x in meters on the vertical axis. The horizontal axis is labeled 't (s)' with tick marks at intervals of 1.0 from 0 to 4.0. The vertical axis is labeled 'x (m)' with tick marks at intervals of 2.0 from 0 to 10.0. Light gray gridlines align with all axis ticks. A solid line labeled 'Cart 1' begins at (0, 0), extends linearly with a positive slope to (2.0, 4.0), and continues as a horizontal line from (2.0, 4.0) to (4.0, 4.0). A dashed line labeled 'Cart 2' begins at (0, 6.0), extends linearly with a negative slope to (2.0, 4.0), and then extends linearly with a steep positive slope from (2.0, 4.0) to (4.0, 10.0). No other curves, labels, or shaded regions appear.
Position as a function of time for Cart 1 and Cart 2.
Two carts, Cart 1 of mass \(m_1 = 2.0 \text{ kg}\) and Cart 2 of mass \(m_2 = 1.0 \text{ kg}\), move along a horizontal, frictionless track parallel to an \(x\)-axis. The position \(x\) of each cart as a function of time \(t\) before, during, and after a collision is shown in the graph. Which of the following statements correctly describes the velocity of the center of mass of the two-cart system over the interval \(0 \le t \le 4.0 \text{ s}\)?

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