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AP Physics C: Mechanics
4.2 Change in Momentum and Impulse
IntermediateMCQMathematicalConceptual21.5k
A rectangular block labeled M rests on a horizontal solid line representing a frictionless surface. A horizontal arrow pointing to the right labeled v_0 is positioned directly above the block. A horizontal arrow labeled F(t) = C t^2 originates at the left vertical face of the block and points to the right. No other labels, lines, text, or axes appear.
A block of mass M moving with initial speed v_0 subject to force F(t).
A block of mass \(M\) moves to the right along a horizontal, frictionless surface with an initial speed \(v_0\) at time \(t = 0\). Starting at \(t = 0\), a time-dependent net horizontal force \(F(t) = C t^2\) is applied to the block in the direction of motion, where \(C\) is a positive constant. Which of the following integral equations correctly relates the speed \(v(t)\) of the block at a later time \(t\) to the force acting on it?

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