derived equations of motion for a particle moving in a plane and show that yhe motion can be resolved in two independent motion in a mutually perpendicular direction ??
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Secondary School
Physics
5 points
Derive equations of motion for a particle moving in a plane and show that the motion can be resolved in two independent motion in mutually perpendicular directions
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by Gauri1801 07.08.2019
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sonuvuce
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Answer:
Let the initial velocity of the particle be

The acceleration of the particle be

After time t if the velocity is  and the displacement is 
Then
Acceleration = rate of change of velocity


 ............ (1)
Average velocity



 ............(2)
Taking the dot product of eq (1) with itself



 ........ (3)
(1), (2) and (3) are required equations of motion
From equation (1)



Comparing the x and y component

And

From equation (2)



Comparing the x and y components


Similarly for equation (3) we can say that the motion can be resolved in two independents mutually perpendicular directions.
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hey punekar
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