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how to convert velocity displacement graph into acceletration displacement graph?

how to convert velocity displacement graph into acceletration displacement graph?

Grade:12

2 Answers

Roshan Mohanty
64 Points
9 years ago

use straight line equation to find the slopes and plot the graph...if u give an ex i can tell u more clearly...

Askiitians_Expert Yagyadutt
askIITians Faculty 74 Points
9 years ago

Hello ashutosh ..!

 

Well the only method in this case is ...

 

Acceleration = - v.dv/dx

 

So if curve between v and x is given you can calculate it slope ..or you can say dv/dx

 

You can find out v is terms of x becAUse the graph of v versus  x is given ..if it is parabola ..then v^2 = 4ax ..if it is straight line passing through origin ..v = kx ..or any function like these...( I hope you can find it ..)

 

Simple then ..multiply the function  v  with the slope along with -ve sign will give you the acceleration in terms of x

 

Example :-)

 

If v^2 = 4ax

then ...   2v.dv/dx = 4a

 

or v.dv/dx = 2a

-v.dv/dx = -2a

 

Hence acceleration in this case is constant...and equal to ..-2a ...( and the graph between acceleration and x will be a straight line paralled to x-axis)

 

Hope it is clear

 

Regards

Yagya

Ask_iitians_expert

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