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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