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AP Physics C: Mechanics
5.6 Newton’s Second Law in Rotational Form
5.1 Rotational Kinematics
IntermediateMCQConceptual20.7k
A two-dimensional Cartesian graph on a white background with thin dashed gridlines. The horizontal axis is labeled t (s) at the right end, with numerical labels at tick marks for 0, 2, 4, and 6. The vertical axis is labeled \alpha (rad/s^2) at the top, with numerical labels at tick marks for -3, 0, 3, and 6. A single solid straight line with a constant negative slope begins at coordinates (0, 6) on the vertical axis, extends downward and rightward through the horizontal axis intercept at (4, 0), and ends at coordinates (6, -3). Small filled circular points mark the endpoints at (0, 6) and (6, -3) as well as the horizontal intercept at (4, 0). No other labels, lines, text, or axes appear.
Angular acceleration as a function of time for the rotating wheel.
A rigid wheel rotating about a fixed frictionless axle is initially at rest at \(t = 0\). A net torque applied to the wheel produces an angular acceleration \(\alpha\) as a function of time \(t\) shown in the graph. Which of the following statements correctly identifies the maximum angular velocity of the wheel on the interval \(0 \le t \le 6\text{ s}\) and provides a correct justification?

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