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Motion Maps and Position vs. Time Graphs - Modeling Physics

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Name<br />

Date<br />

Constant Velocity Particle Model Worksheet 1:<br />

<strong>Motion</strong> <strong>Maps</strong> <strong>and</strong> <strong>Position</strong> <strong>vs</strong>. <strong>Time</strong> <strong>Graphs</strong><br />

Pd<br />

1. Given the following position <strong>vs</strong>. time graph, draw a motion map with one dot for each second.<br />

4<br />

<strong>Position</strong> <strong>vs</strong>. <strong>Time</strong><br />

3<br />

2<br />

1<br />

0 m 5 m<br />

+<br />

0<br />

0 1 2 3 4 5 6 7 8<br />

time (seconds)<br />

Describe the motion of the object in words:<br />

2. Given the following motion map, where positions have been recorded with one dot each second,<br />

draw a position <strong>vs</strong>. time graph.<br />

<strong>Position</strong> <strong>vs</strong>. <strong>Time</strong><br />

0 m 5 m<br />

+<br />

Describe the motion of the object in words:<br />

time (seconds)<br />

©<strong>Modeling</strong> Instruction 2010 1 U2 Constant Velocity ws 1 v3.0


3. Consider the position <strong>vs</strong>. time graph below for cyclists A <strong>and</strong> B.<br />

a. Do the cyclists start at the same point How do you know If not, which is ahead<br />

b. At t= 7s, which cyclist is ahead How do you know<br />

c. Which cyclist is traveling faster at 3s How do you know<br />

d. Are their velocities equal at any time How do you know<br />

e. What is happening at the intersection of lines A <strong>and</strong> B<br />

f. Draw a motion map for cyclists A <strong>and</strong> B.<br />

0 m<br />

+<br />

©<strong>Modeling</strong> Instruction 2010 2 U2 Constant Velocity ws 1 v3.0


Produce a <strong>Motion</strong> Map from each position <strong>vs</strong>. time graph.<br />

4.<br />

position (m)<br />

5<br />

4<br />

3<br />

2<br />

0 m 5 m<br />

+<br />

1<br />

0<br />

0<br />

1<br />

2 3 4<br />

5<br />

time (s)<br />

5.<br />

5<br />

position (m)<br />

4<br />

3<br />

0 m 5 m<br />

2<br />

+<br />

1<br />

0<br />

0<br />

1<br />

2 3 4<br />

5<br />

time (s)<br />

6.<br />

5<br />

position (m)<br />

4<br />

3<br />

2<br />

1<br />

0 m 5 m<br />

+<br />

0<br />

0<br />

1<br />

2 3 4<br />

5<br />

time (s)<br />

©<strong>Modeling</strong> Instruction 2010 3 U2 Constant Velocity ws 1 v3.0


7. To rank the following, you may need to look at the key ideas sheet for the difference between<br />

displacement <strong>and</strong> distance (odometer reading.)<br />

x (m)<br />

A<br />

x (m)<br />

B<br />

x (m)<br />

C<br />

25<br />

0<br />

0<br />

10<br />

t (s)<br />

5<br />

0<br />

0<br />

10<br />

t (s)<br />

10<br />

0<br />

0<br />

10<br />

t (s)<br />

x (m)<br />

10<br />

D<br />

x (m)<br />

15<br />

E<br />

x (m)<br />

10<br />

F<br />

5<br />

3<br />

0<br />

0<br />

10<br />

t (s)<br />

0<br />

0<br />

10<br />

t (s)<br />

0<br />

0<br />

3 10<br />

t (s)<br />

a. Rank the graphs according to which show the greatest displacement from the beginning to the<br />

end of the motion.<br />

Most positive 1______ 2______ 3______ 4______ 5______ 6______ Most negative<br />

Explain your reasoning for your ranking:<br />

b. Rank the graphs according to which show the greatest distance (odometer reading) from the<br />

beginning to the end of the motion.<br />

Greatest 1________ 2________ 3________ 4________ 5________ 6________ Least<br />

Explain your reasoning for your ranking:<br />

©<strong>Modeling</strong> Instruction 2010 4 U2 Constant Velocity ws 1 v3.0

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