Describing the graphs

Graph1

The graph above is a representation of a distance /time graph:

·       Object is at rest at 1m for 1 second, in the positive quadrant, away from the origin

·       Starting from 1 second until 3 seconds, the object is running at a constant speed for 1.5 m [E]

·       During 3 seconds the object is at rest , at 2.7m away from the origin

·       Starting at 6 seconds until 7.5 seconds, the object is walking at a constant speed for 1m [W], toward the origin

·       For 2.5 seconds the object is at rest, at 1.8 m away from the origin

Using the distance/time graph, we can predict the motion on the velocity and acceleration time graphs.

Velocity/time graph:

The movement of the object will start at 0m/s at 1 s. For the next 2 second there will be a horizontal line. Starting at 3 s until 6 seconds the line on the velocity graph will be horizontal at 0m/s. For the next 1.5s there will be a horizontal line in the negative quadrant, because the object is going in the negative direction [w].The graph will end with a horizontal line at 0m/s.

Acceleration/time graph:

The following graph will have only one line that will be at 0 m/s².

Graph2

The graph above is another representation of a distance /time graph, but a different motion:

·       The object started his movement at 3 second away from the origin

·       For the first 2.5 seconds , the object is walking at a constant speed for 1.5 m[W] toward the origin

·       The object is at rest for 1 s at 1.5m away from the origin, in the positive quadrant

·       Starting at 4 second until 5 seconds the object is running at a constant speed for 1m in the negative direction, toward the origin

·       During 2 second the object is at rest at 0.5m away from the origin

·       The last motion that the object does is walking 2.2m for 3 second in the positive direction[E] away from the origin

Prediction of the velocity/time graph:

During the first 3 seconds there will be a horizontal line in the negative quadrant. For the following 2 s the graph will have a straight horizontal line at 0m/s. One more time there will be a horizontal line in the negative quadrant for 1s.  After the velocity graph will have a horizontal line at 0 m/s. The last line that will be represented on this graph will be a horizontal line in the positive quadrant for 3s.

The acceleration graph will have a straight horizontal line at 0m/ s².

Graph3

Graph NR.3, represents a velocity/time graph:

·       For the first 2 seconds the object is at rest

·       During 0.2 s the object is increasing its speed at 1.5 m/s[E] in a positive direction, away from the origin

·       The object is walking at a constant speed for 2.9s at 0.5m/s [E] away from the origin

·       The object is speeding up for 0.1 s at 0.5m/s in the negative direction [W] toward the origin

·       During 1.9 s the object is at rest at 0m/s

·       The object is speeding up at 0.5m/s for 0.1 s [W]

·       For 2.3 s at 0.5 m/s the object is walking at constant speed [W]

The acceleration/time graph of the above velocity graph will look as following:

For the first 2 seconds there is a horizontal line at 0m/ s². During the following 0.1 seconds, there will be a horizontal line in the positive quadrant. After that the line will return at 0m/ s² for a time period of 3 s being horizontal. Again for 0.1 s there will be a horizontal line but now in the negative quadrant . The horizontal line will return back at 0m/ s² during 3.9 s. For another 0.1 s there will be a horizontal line in the negative quadrant and a return back at 0m/ s².

Graph4

This is another graph that shows the movement of an object in a velocity/time graph:

·       At 0.5m/s the object is speeding up for 4 second [E] in the positive direction away from the origin

·       For the next 2 s the object has a constant speed at 0.5m/s

·       During 0.1 s the object is speeding up at 0.m/s [W] passing the origin

·       For 3.9 s at 0.4 m/s the object is walking at the same speed while being in the negative quadrant

·       The object is speeding up for 0.1s at 0.4m/s toward the origin [E]

·       Object at rest for 0.9s

The above graph, can be represented in a acceleration/time graph as following:

There is a positive acceleration , which means that the line will be horizontal in the positive quadrant for 4seconds. For the following 2 seconds the line will return back at 0m/ s². For 0.1 s there will be a negative horizontal line and then it will return at 0m/ s². During another 0.1 seconds the line will be in the positive quadrant because of a positive acceleration. The graph will end being at 0m/ s².

Graph5

Graph 5, position vs. time graph:

·       The object starts it's movement at 0.8m away from the origin

·       For 3.5 s the object is walking 0.8m [E] away from the origin

·       For 3 s the object is at rest at 1.8 m away from the origin

·       During 1.2 m the object runs for 2.7 s [E] in the positive direction away from the origin

Velocity/time graph:

The graph starts with a horizontal line, in the positive quadrant for the first 3.5 seconds. For the next 3 seconds the horizontal line will return at 0m/s. The last line of this graph will be represented with a horizontal line in the positive quadrant for 3.5 seconds.

Acceleration /time graph:

Again, the acceleration/time graph will for the above graphs, will have a straight horizontal line at 0m/ s².

Graph6

This graph is a velocity/time graph:

·       Walk at the same speed at 0.4m/s during 3.2 s [E] in the positive quadrant

·       The object is speeding up, stops and then speeds up again during 0.1 second

·       For 3.3 s the object is walking at the same speed at 0.3 m/s in the negative quadrant

·       The objects speeds up at 0.3m/s during 0.2 s toward the origin

·       The object is at rest for 3.6 second

The acceleration /time graph of the above diagram will look as following:

During the first 3 seconds the line will remain at 0m/ s². After , there will be a horizontal line in the negative quadrant for 0.2 seconds. Again, the line will return at 0m/ s² for 3.5 seconds. The line will move in the positive quadrant for 0.2seconds and return back again at 0m/ s² for the next 3.5 seconds.