POSITION-TIME GRAPHS



POSITION-TIME GRAPHS

Take the slope of following graphs. [pic]

|[pic] |[pic] |

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|[pic] | |

Determine the velocities for the three motions depicted in the graph.

graphing uNIFORM MOTION

Uniform motion means

Traveling traveling at constant speed!

graphing NON-uNIFORM MOTION

Non-uniform motion means the speed is changinG (aCCELERATION)

|[pic] |Determine the instantaneous velocity at 4.0s. |

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| |Determine the average velocity from 0.0s -5.0s. |

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|[pic] |Determine the instantaneous velocity at 4.0s. |

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| |Determine the average velocity from 0.0s -6.0s. |

Looking at a Position –Time ([pic]) graph…

|POSITION |JUST READ THE GRAPH |

|OR | |

|displacement | |

|direction |LOOK AT THE SIGN OF THE SLOPE |

|of | |

|travel |positive slope ( traveling in positive direction |

| |[pic] [pic] [pic] |

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| |negative slope ( traveling in negative direction |

| |[pic] [pic] [pic] |

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| |slope = zero ( object is stopped |

|velocity |CALCULATE THE SLOPE |

| |We can calculate the average velocity or the instantaneous velocity. |

| |[pic] |

|Is the object speeding up, slowing |HOW IS THE SLOPE CHANGING? |

|down, stopped or moving at a |slope is increasing ( speeding up slope is decreasing ( slowing down |

|constant velocity? | |

| |[pic][pic] [pic][pic] |

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| |slope is constant (same) ( moving at constant (same) velocity |

| |[pic] |

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| |slope = zero ( object is stopped |

|Direction of Acceleration? |[pic] |

| |[pic] |

Extracting Information From A Position-Time Graph…

Measure displacement from the starting point 5m [N].

Measure position from 0 m.

[pic]

Answer the following questions:

|What is the displacement from 0 to 3 s? 3m [N] |When is the object traveling in the positive direction? |

|What is the displacement from 0 to 7 s? 5m [S] |A, G |

|What is the position at 3 second? 8m [N] | |

|What is the position 7 seconds? 0m |When is the object traveling in the negative direction? |

|What is the position at 15 seconds? 4 m [S] |C, E, F |

1. Calculate the instantaneous velocity at 10s.

0.5m/s [S]

2. Calculate the average velocity between 0s and 15s.

0.6m/s [S]

3. When is the object speeding up (velocity is increasing)? never

4. When is the object slowing down (velocity is decreasing)? never

5. When is the object traveling at a constant speed (constant velocity)?

always except when stopped at B & D

6. When is the object stopped? B, D

Extracting Information From A Position-Time Graph…

[pic]

Answer the following questions:

|What is the displacement from 0 to 10s? 100m [W] |When is the object traveling in the positive direction? |

|What is the displacement from 0 to 35s? 500m [W] |0s to 35s |

|What is the position at 10 second? 100m [W] | |

|What is the position at 35 seconds? 500m [W] |When is the object traveling in the negative direction? |

| |37s to 75s |

1. Calculate the instantaneous velocity at 50s.

6.67 m/s [E]

2. Calculate the average velocity between 0s and 35s.

14.3 m/s [W]

3. Calculate the instantaneous velocity at 35s.

0 m/s

4. When is the object speeding up (velocity is increasing)? 10s to 25s, 37s to 75s

5. When is the object slowing down (velocity is decreasing)? 25s to 35s

6. When is the object traveling at a constant speed (constant velocity)? 0s to 10s

7. When is the object stopped?

35s to 37s

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Slope of a p-t graph gives velocity

HOMEFUN

read pg16-20, 27-29

questions pg 20 #1-4, pg29 #1,2

complete worksheets

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