c$)$ A constant velocity to the right, stationary for a few seconds and then a constant slower velocity to

the left:

d$)$ A constant velocity to the left, stationary for a few seconds, constant velocity further to the left: Objective ${?}_{(})$

Produce position$-$time $(x-t)$ graphs for the following examples of motion:

a constant slow velocity to the right and then $($immediately$)$ a constant fast velocity to the right,

a constant velocity to the left,

a constant velocity to the right, stationary for a few seconds and then a constant slower velocity

to the left, and

a constant velocity to the left, stationary for a few seconds, constant velocity further to the left.

Theory

The slope of a $x-t$ graph for the motion of a cart gives its velocity. Assuming the direction to the right is

positive, we expect the graphs for the following descriptions of motions to be as follows:

a$)$ A constant slow velocity to the right and then $($immediately$)$ a constant fast velocity to the right:

b$)$ A constant velocity to the left: