Question

graphical analysis of motion
part 1: concepts:

1. the graph below shows the position vs time for an object in motion. give a description of what the object is doing during each of the intervals listed in the table below:

position (m)
time (s)
region start time (s) end time (s) description of motion
a
b
c
d
e
f

Explanation:

Step1: Analyze Region A

The position - time graph is curved upwards. The slope of the position - time graph represents velocity. As the slope is increasing, the object is accelerating in the positive direction.

Step2: Analyze Region B

The graph is a straight - line with a constant positive slope. So, the object is moving with a constant positive velocity.

Step3: Analyze Region C

The slope of the graph is decreasing. This means the object is still moving in the positive direction but is decelerating.

Step4: Analyze Region D

The slope of the graph is zero. So, the object is at rest.

Step5: Analyze Region E

The slope of the graph is zero. The object remains at rest.

Step6: Analyze Region F

The graph has a negative slope. The object is moving in the negative direction with a constant velocity.

Answer:

Region	Start Time (s)	End Time (s)	Description of Motion
B	2	4	Moving with constant positive velocity
C	4	6	Decelerating while moving in positive direction
D	6	7	At rest
E	7	8	At rest
F	8	10	Moving with constant negative velocity