The Vector $\overrightarrow{\mathbf{r}}$ Indicates the Instantaneous Displacement of a Projectile from the Origin

question 43

Multiple Choice

The vector $\overrightarrow{\mathbf{r}}$ indicates the instantaneous displacement of a projectile from the origin. At the instant when the projectile is at $\overrightarrow{\mathbf{r}}$ , its velocity and acceleration vectors are $\overrightarrow{\mathbf{v}}$ and $\overrightarrow{\mathbf{a}}$ . Which statement is correct?

• A) \(\overrightarrow{\mathbf{v}}\) is always perpendicular to \(\overrightarrow{\mathbf{r}}\) .
• B) \(\overrightarrow{\mathbf{a}}\) is always perpendicular to \(\overrightarrow{\mathbf{r}}\) .
• C) \(\overrightarrow{\mathbf{a}}\) is always perpendicular to \(\overrightarrow{\mathbf{v}}\) .
• D) \(\overrightarrow{\mathbf{a}}\) is always perpendicular to \(\overrightarrow{\mathbf{V}}_{x}\) .
• E) \(\overrightarrow{\mathbf{a}}\) is always perpendicular to \(\overrightarrow{\mathbf{v}}_{y}\) .

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