XVA - Constant Velocity 2
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Here we are looking at the motion of an
object which is traveling at a constant velocity. This is the
second of two main pages that deal with constant velocity
graphs. On this page the original position of the object is
not at the origin, but at some positive or negative
coordinate.
There are four groups of graphs on this
page. Each group is numbered, [1] to [4].
Every group has three sets of graphs.
Each set of graphs consists of an x vs. t
graph, a v vs. t graph, and an a vs. t graph.
For every graph the original position or
the original velocity or the constant acceleration is noted
above the corresponding graph.
[1] Starting positive position, several
constant positive velocities.
- In each set of graphs the original
position is at 40.0 m.
- In each set of graphs the velocity is
constant and positive.
- The constant positive velocity becomes
more positive as you move from the top set to the
bottom set of graphs.
- Since all of the velocities are
constant, all of the accelerations are 0.0 m/s^{2}.
Comments:
- In each of the above x vs. t graphs
the object starts out at the same positive position,
x = 40.0 m.
- Since each velocity is positive, in
each x vs. t graph the object moves away from its
starting point in a positive direction. That is, the
positions are added to.
- In each set of graphs the object moves
away from its starting point at a different velocity.
The velocities get more positive as you move down
through the sets of graphs.
- In each set of graphs the slope of the
x vs. t graph is constant and positive. In each set
of graphs the value of the velocity is constant and
positive. This is because the slope of an x vs. t
graph is the velocity.
- As you move down through the v vs. t
graphs the values of the velocities get more positive.
As you move down through the x vs. t graphs the
slopes get more positive. This is because the slope
of an x vs. t graph is the velocity.
- See
Constant
Velocity Animate 2.
[2] Starting positive position, several
constant negative velocities.
- In each set of graphs the original
position is at 40.0 m.
- In each set of graphs the velocity is
constant and negative.
- The constant negative velocity becomes
more negative in each set as you move from the top
set to the bottom set.
- Since all of the velocities are
constant, all of the accelerations are 0.0 m/s^{2}.
Comments:
- In each of the above x vs. t graphs
the object starts out at the same positive position,
x = 40.0 m.
- Since each velocity is negative, in
each x vs. t graph the object moves away from its
starting point in a negative direction. That is, the
positions are subtracted from.
- In each set of graphs the object moves
away from its starting point at a different velocity.
The velocities get more negative as you move down
through the sets of graphs.
- In each set of graphs the slope of the
x vs. t graph is constant and negative. In each set
of graphs the value of the velocity is constant and
negative. This is because the slope of an x vs. t
graph is the velocity.
- As you move down through the v vs. t
graphs the velocities get more negative. As you move
down through the x vs. t graphs the slopes get more
negative. This is because the slope of an x vs. t
graph is the velocity.
- See
Constant
Velocity Animate 2.
[3] Starting negative position, several
constant positive velocities.
- In each set of graphs the original
position is at -40.0 m.
- In each set of graphs the velocity is
constant and positive.
- The constant positive velocity becomes
more positive in each set as you move from the top
set to the bottom set.
- Since all of the velocities are
constant, all of the accelerations are 0.0 m/s^{2}.
Comments:
- In each of the above x vs. t graphs
the object starts out at the same negative position,
x = -40.0 m.
- Since each velocity is positive, in
each x vs. t graph the object moves away from its
starting point in a positive direction. That is, the
positions are added to.
- In each set of graphs the object moves
away from its starting point at a different velocity.
The velocities get more positive as you move down
through the sets of graphs.
- In each set of graphs the slope of the
x vs. t graph is constant and positive. In each set
of graphs the value of the velocity is constant and
positive. This is because the slope of an x vs. t
graph is the velocity.
- As you move down through the v vs. t
graphs the velocities get more positive. As you move
down through the x vs. t graphs the slopes get more
positive. This is because the slope of an x vs. t
graph is the velocity.
- See
Constant
Velocity Animate 3.
[4] Starting negative position, several
constant negative velocities.
- In each set of graphs the original
position is at -40.0 m.
- In each set of graphs the velocity is
constant and negative.
- The constant negative velocity becomes
more negative in each set as you move from the top
set to the bottom set.
- Since all of the velocities are
constant, all of the accelerations are 0.0 m/s^{2}.
Comments:
- In each of the above x vs. t graphs
the object starts out at the same negative position,
x = -40.0 m.
- Since each velocity is negative, in
each x vs. t graph the object moves away from its
starting point in a negative direction. That is, the
positions are subtracted from.
- In each set of graphs the object moves
away from its starting point at a different velocity.
The velocities get more negative as you move down
through the sets of graphs.
- In each set of graphs the slope of the
x vs. t graph is constant and negative . In each set
of graphs the value of the velocity is constant and
negative. This is because the slope of an x vs. t
graph is the velocity.
- As you move down through the v vs. t
graphs the velocities get more negative. As you move
down through the x vs. t graphs the slopes get more
negative. This is because the slope of an x vs. t
graph is the velocity.
- See
Constant
Velocity Animate 3.
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