Chapter$-3$ Problem $(10$ points$)$: Fig.$-2$ shows an x$-$t plot for the onedimensional motion of a particle. Carefully label the diagram, and answer the questions posed. Show all work.

At what points on the curve is the velocity of the particle equal to zero? Why?

At what point is the magnitude of the particle's velocity the greatest? Why?

At the point $P,$ is the magnitude of the particle's velocity greater than, or less than, zero? Why?

At the point $R,$ is the magnitude of the particle's velocity greater than, or less than, zero? Why?

Fig.$-2$: x$-$t plot.