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Difference between position time, velocity time and acceleration time graph 
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#1
Sep1411, 10:17 PM

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What is the difference between position time graph, velocity time graph and acceleration time graph and how would each of them look like when drawn?



#2
Sep1411, 10:20 PM

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#3
Sep1411, 10:52 PM

P: 902

Change of position per unit time is motion and hence, there is velocity there...for as long as velocity is the rate of change of position vs time, we can say that velocity is the derivative of position vs time curve.
Acceleration is the rate of change of velocity per unit time...and so, acceleration is the derivative of the velocity vs time curve. So, if something is not moving, and it has the same position at all times (horizontal line in y vs t plot), vel=0, acc=0 If something is moving at a constant rate, the plot is an inclined line..its derivative is a constant (slope) which is the speed. The derivative of a constant (speed) is zero (acc=0). If something is moving at various speeds/acceleration, the position plot will be all over the place, the velocity will be the derivative of such curve, and acceleration that derivative of the speed curve. 


#4
Sep1511, 01:18 PM

P: 925

Difference between position time, velocity time and acceleration time graph
There are also relationships when integrating velocity as a function of time and acceleration as a function of time.



#5
Sep1511, 06:27 PM

P: 1,499

If the object is moving at a constant velocity then the plots become a ramp, a horizontal line, and a horizontal line with acceleration = 0. If the object has no velocity nor acceleration then the plot of position is a horizontal staright line and the plots of both velocity and acceleration are horizontal straight lines with velocity=0 and acceleration=0. 


#6
Sep1511, 06:36 PM

HW Helper
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#7
Sep1511, 09:38 PM

P: 67




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