Models of Light
Name
Date Pd
Constant Velocity Model Worksheet 4:
Velocity vs. Time Graphs and Displacement
1. This motion map shows the position of an object once every second. From the motion map, answer the following:
a. Describe the motion of the object.
The object is moving at constant velocity in the positive direction.
|b. Represent the motion with a |c. Represent the motion with a |
|quantitative x vs. t graph. |quantitative v vs. t graph. |
d. Write a mathematical expression that represents the relationship between position and time.
[pic]
e. From the position-time graph find the displacement from t = 1 s to t = 3 s.
At t = 1 s, x = 2 m. At t = 3 s, x = 6 m. The displacement, (x = 6 - 2 = 4 m.
f. Find the area under the velocity-time graph from t = 1 s to t = 3 s. What are the units of this area? Describe what this area represents.
The area is shaded in the v-t graph above. [pic]
The area equals the displacement.
2. From the position vs. time data below, answer the following questions.
a. Construct a graph of position vs. time. b. Construct a graph of velocity vs. time.
|t (s) |x (m) |
|0 |0 |
|1 |2 |
|2 |4 |
|3 |4 |
|4 |7 |
|5 |10 |
|6 |10 |
|7 |10 |
|8 |5 |
|9 |0 |
c. Draw a motion map for the object.
d. Determine the displacement from t = 3.0 s to 5.0 s using the velocity vs. time graph.
[pic]
e. Determine the displacement from t = 7.0 s to 9.0 s using the velocity vs. time graph.
[pic]
f. Determine the average velocity from t = 4 s to 8 s.
[pic]
g. Determine the average speed from t = 4 s to 8 s.
average speed =[pic]
-----------------------
start
end
v
v
v
v
v
v
0m
2m
4m
6m
8m
10m
velocity (m/s)
time (s)
5
2
10
5
position (m)
time (s)
velocity (m/s)
t (s)
0 5 10
0
5
-5
time (s)
position (m)
0
5
10
0 5 10
start
end
v v
v v
v v
................
................
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