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**Tweety** A particle X travels with a constant velocity of $\displaystyle 6ms^{-1} $ along a straight line. It passes a particle Y which is stationarity. One second later particle Y accelerates at $\displaystyle 2ms^{-2}$ . How long after being passed it take for particle Y to draw level with the particle X? Leave your answer in surd form.

for particle 'x' $\displaystyle u = 6ms^{-1} $ ,$\displaystyle a = 0ms^{-2}$

t= T seconds.

and for particle 'y' $\displaystyle u= 0ms^{-1}$ , $\displaystyle a = 2ms^{-2}$ and t= T-1 seconds

I am pretty sure you use this formula $\displaystyle s=ut + \frac{1}{2} at^{2} $

but I am not sure how to put all this info together and make one equation any help ?

thanks!