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Line 509:
Line 509: − − <br> − − − <br> − Line 523:
Line 517: − + − = y<sub>2</sub> – y<sub>1</sub> / x<sub>2</sub> = x<sub>1 </sub>+ − + − − − change in position/ change in time − − − − velocity Line 541:
Line 528: − − − <br> − − − <br> − − − <br> − − − <br> − − − <br> − − − <br> − − − <br> − − + − − m. After that, it stays at rest. − − + − − − − <br> − − − Consider+ − the object below. − − − − <br> − − − <br> − − <br> − − T[[Image:Motion%20in%20One%20Dimension_html_m21074457.png]]he+ − 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. + − <br>+ − − − − − − + − time = velocity+ + − + − Line 634:
Line 573: − + − − − − Line 686:
Line 621: − + − − − E[[Image:Motion%20in%20One%20Dimension_html_27697866.gif]]xamine+ − + − Line 703:
Line 635: − + − − − + − + − Line 722:
Line 651: − + − − − − − + − − − + − − − + −
→Graphs to represent the above quantities
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<br>
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
Slope
Slope = y<sub>2</sub> – y<sub>1</sub> / x<sub>2</sub> = x<sub>1 </sub>
= change in position/ change in time
= velocity
=
=
[[Image:Motion%20in%20One%20Dimension_html_714365d4.png]]<br>
[[Image:Motion%20in%20One%20Dimension_html_714365d4.png]]<br>
[[Image:Motion%20in%20One%20Dimension_html_68367353.gif]]<br>
[[Image:Motion%20in%20One%20Dimension_html_68367353.gif]]<br>
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
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<br>
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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<br>
Considerthe object below.
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<br>
[[Image:Motion%20in%20One%20Dimension_html_m5abddb4f.png]]<br>
[[Image:Motion%20in%20One%20Dimension_html_m5abddb4f.png]]<br>
[[Image:Motion%20in%20One%20Dimension_html_m74cc4a47.png]]<br>
[[Image:Motion%20in%20One%20Dimension_html_m74cc4a47.png]]<br>
[[Image:Motion%20in%20One%20Dimension_html_m21074457.png]]
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.
<br>
<br>
Slope = (y<sub>2</sub> – y<sub>1</sub> )/ (x<sub>2</sub> - x<sub>1 </sub>)
Slope
= (y<sub>2</sub> – y<sub>1</sub> )/ (x<sub>2</sub> - x<sub>1 </sub>)
= change in position/ change in
= change in position/ change in time
= velocity
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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<br>
Can you interpret the following position time graphs?
Can
you interpret the following position time graphs?
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<br>
{| border="1"
{| border="1"
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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<br>
[[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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<br>
Short quiz :
Short quiz :
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?
* 5
* 5
* 15 m
* 15 m
* Can’t say – not enough information
* Can’t say – not enough information
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<br>
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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<br>
Examine carefully the position – time information below.
Examine
carefully the position – time information below.
[[Image:Motion%20in%20One%20Dimension_html_6806e5d0.png]]
[[Image:Motion%20in%20One%20Dimension_html_6806e5d0.png]]
Can
Can you draw a velocity-time graph?
you draw a velocity-time graph?
[[Image:Motion%20in%20One%20Dimension_html_m409e339.gif]]<br>
[[Image:Motion%20in%20One%20Dimension_html_m409e339.gif]]<br>
What
What can you say about the velocity of this body?
can you say about the velocity of this body?
<br>
<br>
Is
Is it uniform, increasing or decreasing?
it uniform, increasing or decreasing?