Name
Date
Pd
Velocity Worksheet 2: Motion Maps and Velocity vs. Time Graphs
Sketch velocity vs. time graphs and motion maps corresponding to the following descriptions of the
motion of an object.
1. A crab crawls away from a rock in the positive
direction at a constant (steady) speed.
Motion Map:
2. A tourist is standing still.
Motion Map:
3. A rollerblader skates in the negative direction at
a steady speed for 5 seconds, then stands still
for 5 seconds.
Motion Map:
4. A different rollerblader moves in the positive
direction at a steady speed for 10s, reverses
direction and moves back toward the negative
direction at the same speed.
Motion Map:
©Modeling Workshop Project 2003
1
MPS 1.3 Geometric Properties-Velocity ws2 v2.1
Draw the velocity vs time graphs for an object whose motion produced the position vs time graphs
shown below at left.
5.
6.
7.
8. For many graphs, both the slope of the line and the area between the line and the horizontal axis
have physical meanings.
a. What does the slope of a position-time graph tell you about the motion of an object?
b. Looking at the velocity time graphs, determine the units for a square of area on the graph.
c. What does the area "under the velocity-time graph" tell you about the motion of an object?
©Modeling Workshop Project 2003
2
MPS 1.3 Geometric Properties-Velocity ws2 v2.1
9. From the position vs time data below, answer the following questions.
Time (s)
0
1
2
3
4
5
6
7
8
9
Position (m)
0
2
4
4
7
10
10
10
5
0
a. Construct a graph of position vs time and velocity vs time.
b. Draw a motion map for the object.
c. Determine the displacement from t = 3.0s to 5.0s using graph B.
d. Determine the displacement from t = 7.0 s to 9.0 s using graph B.
©Modeling Workshop Project 2003
3
MPS 1.3 Geometric Properties-Velocity ws2 v2.1