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| Instead of jumping in steps if the object were to move continuously, the position time graph would | | Instead of jumping in steps if the object were to move continuously, the position time graph would |
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− | Slope | + | Slope = y<sub>2</sub> – y<sub>1</sub> / x<sub>2</sub> = x<sub>1 </sub> |
− | = y<sub>2</sub> – y<sub>1</sub> / x<sub>2</sub> = x<sub>1 </sub>
| + | = change in position/ change in time |
− | | + | = velocity |
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− | change in position/ change in time
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− | velocity
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| [[Image:Motion%20in%20One%20Dimension_html_714365d4.png]]<br> | | [[Image:Motion%20in%20One%20Dimension_html_714365d4.png]]<br> |
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| [[Image:Motion%20in%20One%20Dimension_html_68367353.gif]]<br> | | [[Image:Motion%20in%20One%20Dimension_html_68367353.gif]]<br> |
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− | In this graph, the object is | + | In this graph, the object is moving uniformly till t = 3 seconds, when it covers a distance of 2m. After that, it stays at rest. |
− | moving uniformly till t = 3 seconds, when it covers a distance of 2 | |
− | m. After that, it stays at rest.
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− | Can there be a position – time | + | Can there be a position – time graph parallel to the y-axis? Why or why not? |
− | graph parallel to the y-axis? Why or why not? | |
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− | Consider
| + | Considerthe object below. |
− | the object below.
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| [[Image:Motion%20in%20One%20Dimension_html_m5abddb4f.png]]<br> | | [[Image:Motion%20in%20One%20Dimension_html_m5abddb4f.png]]<br> |
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| [[Image:Motion%20in%20One%20Dimension_html_m74cc4a47.png]]<br> | | [[Image:Motion%20in%20One%20Dimension_html_m74cc4a47.png]]<br> |
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− | T[[Image:Motion%20in%20One%20Dimension_html_m21074457.png]]he
| + | [[Image:Motion%20in%20One%20Dimension_html_m21074457.png]] |
− | object here is moving from position 0 m to 50 m in 5 seconds. But it
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− | is not covering the same distance in each second.
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| + | The object here is moving from position 0 m to 50 m in 5 seconds. But it is not covering the same distance in each second. |
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− | <br>
| + | Slope = (y<sub>2</sub> – y<sub>1</sub> )/ (x<sub>2</sub> - x<sub>1 </sub>) |
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− | Slope | |
− | = (y<sub>2</sub> – y<sub>1</sub> )/ (x<sub>2</sub> - x<sub>1 </sub>) | |
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− | = change in position/ change in | + | = change in position/ change in time |
− | time = velocity
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| + | = velocity |
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− | The | + | The rate at which the position is changing is not constant.; this means |
− | rate at which the position is changing is not constant.; this means | |
| that the slope at different points is different. What can you say | | that the slope at different points is different. What can you say |
| about the velocity? | | about the velocity? |
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| + | Can you interpret the following position time graphs? |
− | Can | |
− | you interpret the following position time graphs? | |
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| {| border="1" | | {| border="1" |
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− | In a similar manner, we can also | + | In a similar manner, we can also plot velocity time graphs to describe motion of a body. |
− | plot velocity time graphs to describe motion of a body. | |
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− | E[[Image:Motion%20in%20One%20Dimension_html_27697866.gif]]xamine
| + | [[Image:Motion%20in%20One%20Dimension_html_27697866.gif]] |
− | the graph below. What can you say about the motion? Is the body | + | Examine the graph below. What can you say about the motion? Is the body |
| moving? | | moving? |
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| Short quiz : | | Short quiz : |
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| + | What is the displacement of the body at the end of 3 seconds? |
− | What is the displacement of the | |
− | body at the end of 3 seconds? | |
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| * 5 | | * 5 |
| * 15 m | | * 15 m |
− | * Can’t say – not enough information | + | * Can’t say – not enough information |
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− | The | + | The graph describes the motion of a body which moves at a constant |
− | graph describes the motion of a body which moves at a constant | |
| velocity. At each second, the body covers 5m. Therefore, at the end | | velocity. At each second, the body covers 5m. Therefore, at the end |
| of 3 seconds, the displacement would be 15 m. | | of 3 seconds, the displacement would be 15 m. |
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− | | + | Examine carefully the position – time information below. |
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− | Examine | |
− | carefully the position – time information below. | |
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| [[Image:Motion%20in%20One%20Dimension_html_6806e5d0.png]] | | [[Image:Motion%20in%20One%20Dimension_html_6806e5d0.png]] |
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− | Can | + | Can you draw a velocity-time graph? |
− | you draw a velocity-time graph? | |
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| [[Image:Motion%20in%20One%20Dimension_html_m409e339.gif]]<br> | | [[Image:Motion%20in%20One%20Dimension_html_m409e339.gif]]<br> |
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− | What | + | What can you say about the velocity of this body? |
− | can you say about the velocity of this body? | |
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− | Is | + | Is it uniform, increasing or decreasing? |
− | it uniform, increasing or decreasing? | |
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