Figure 2-1 6 gives the velocity of a particle moving on an x axis. What

are (a) the initial and (b) the final directions of travel? (c) Does the particle stop momentarily? (d) Is the acceleration positive or negative? (e) Is it constant or varying?

The graph is given in figure 2.16

From the given graph it can be seen that the initial direction of travel is negative whereas the final direction is positive. When the particle velocity is zero that means the particle stops momentarily. Further, the given graph represents the straight line that is ascending in a positive direction.

The graph starts below the x axis which indicates that the initial direction is negative.

Thus, the initial direction of travel is negative.

The graph ends above the x axis which indicates that the final direction is positive.

Thus, the final direction of travel is positive.

From the graph, it is seen that the line crosses the x axis. At that point, the velocity of the particle is zero. When the velocity becomes zero at that moment that means the particle stops momentarily.

the given graph starts from negative velocity to positive velocity which indicates that the velocity is increasing and the slope of v versus t is positive. Thus, the acceleration is positive.

As the graph is a straight line, the acceleration is constant.