Question

A particle moves in the x-y plane under a constant acceleration with scalar components ax =...

A particle moves in the x-y plane under a constant acceleration with scalar components ax = 2 m/s2 and ay = -3 m/s2 . It starts from the origin at t=0 with an initial speed of 6m/s in the positive y direction. What is the time t>0 at which the scalar components of particle's position are equal to one another?

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Answer #1

Solution:

Given, The acceleration along x and y directions àre

, .   

The particle starts with an initial speed in positive y direction. So,

.

Let X and Y denote the scalar components of position along x and y direction in time t.

...............(1)

   ............(2)

X=Y

  

  

  

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