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(C) When the video is played in reverse,the time variable $t$ is replaced by $-t$. $1$. Position vector $\vec{r}(t)$ remains the same at the specific

Vedclass · Accepted Answer

$\vec{r}, -\vec{v}, \vec{a}$

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(C) When the video is played in reverse,the time variable $t$ is replaced by $-t$. $1$. Position vector $\vec{r}(t)$ remains the same at the specific moment $A$ because the object is at the same spatial location,so $\vec{r}_{obs} = \vec{r}$. $2$. Velocity is defined as $\vec{v} = \frac{d\vec{r}}{dt}$. In reverse,$\vec{v}_{obs} = \frac{d\vec{r}}{d(-t)} = -\frac{d\vec{r}}{dt} = -\vec{v}$. $3$. Acceleration is defined as $\vec{a} = \frac{d\vec{v}}{dt}$. In reverse,$\vec{a}_{obs} = \frac{d(\vec{v}_{obs})}{d(-t)} = \frac{d(-\vec{v})}{-dt} = \frac{d\vec{v}}{dt} = \vec{a}$. Thus,the observed values are $\vec{r}, -\vec{v}, \vec{a}$.

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