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AP Physics C: Mechanics
1.1 Scalars and Vectors
IntermediateMCQDrawing RepresentationsMathematical20.2k
A right triangle represents an inclined plane with a base on a horizontal surface and an incline surface rising to the right at an angle labeled \theta. Above the incline, a single solid horizontal arrow labeled \vec{v}_0 points to the right. A set of perpendicular coordinate axes is shown near the incline: a dashed axis labeled x' is aligned parallel to the surface of the incline pointing up and to the right, and a dashed axis labeled y' is aligned perpendicular to the surface of the incline pointing up and to the left. A small square right-angle symbol sits between the x' and y' axes. No other labels, lines, text, or axes appear.
An object moving with horizontal velocity over an inclined plane with rotated coordinate axes.
An object travels horizontally to the right with a constant velocity vector \(\vec{v}_0\) as it passes over an inclined plane that makes an angle \(\theta\) with the horizontal. A tilted Cartesian coordinate system is defined such that the \(+x'\)-axis is parallel to the incline and directed up the incline, and the \(+y'\)-axis is perpendicular to the incline and directed away from the incline surface. Which of the following vector diagrams correctly represents the components of \(\vec{v}_0\) resolved along the \(x'\) and \(y'\) axes?

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