Analysing motion Graphs

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Malaysia SPM Form 4, Chapter 2: Force and Motion
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Contents

[edit] Mind Map

[edit] Displacement-Time Graph

In a Displacement-Time Graph, the gradient of the graph is equal to the velocity of motion.

Analysing Displacement - Time Graph

Image:Motiongraph2.jpg Gradient = 0

Hence, velocity = 0

Image:Motiongraph1.jpg Gradient is constant,

hence, velocity is Uniform

Image:Motiongraph16.jpg Gradient is negative and constant, hence velocity is uniform and in opposite direction
Image:Motiongraph14.jpg Gradient is increasing, hence velocity is increasing.
Image:Motiongraph15.jpg Gradient is decreasing, hence velocity is decreasing.


[edit] Velocity-Time Graph

  • The gradient of the velocity-time gradient gives a value of the changing rate in velocity, which is the acceleration of the object.
  • The area below the velocity-time graph gives a value of the object's displacement.
Image:Motiongraph5.jpg Uniform velocity
Image:Motiongraph6.jpg Uniform acceleration

hence, velocity is Uniform

Image:Motiongraph7.jpg Uniform deceleration
Image:Motiongraph8.jpg Increasing acceleration
Image:Motiongraph9.jpg Increasing Deceleration


[edit] Acceleration-Time Graph

Converting a Velocity-Time graph to Acceleration-Time graph

In order to convert a velocity-time graph to acceleration time graph, we need to find the gradient of the velocity time graph and plot it in the acceleration-time graph.

[edit] Graph of Free Falling

[edit] Dropping an object from high place

Image:Gravity6.jpg


Velocity-Time Graph Acceleration-Time graph
Image:Motiongraph17.jpg Image:Motiongraph18.jpg

[edit] Launching Object Upward

Image:Gravity7.jpg


Velocity-Time Graph Acceleration-Time graph
Image:Motiongraph19.jpg Image:Motiongraph20.jpg


[edit] Launching Object Upward

Image:Gravity4.jpg


Velocity-Time Graph Acceleration-Time graph
Image:Motiongraph10.jpg Image:Motiongraph11.jpg

[edit] Frequenly Asked Question

[edit] Additional notes

[Additional notes content information relates to this topic but may not be in the SPM syllabus]


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