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Look u need to calculate the motion separately for x and y directions.initial velocity in y dirc. is 6 acc. is -3.So max. diatance covered in y direction is till the particle starts retarding, So
0=6^2-2*3*Sy
Sy=6
Now in x direction there is no initial velocity but there is acc. of 2 So
Sx=0+1/2*2*t^2......(1)
Now t will be the time when y coordinate bcms max as asked in question.so
Vy=Uy+at
0=6-3t >t=2
plcing t in (1)> Sx=0+1/2*2*4=4
So the coordinates are (4,6).
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