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Thanks Alot!!! Hehe..finally understood!!Remember the question asks :
find the total distance
travelled by Q from the instant it first reaches X until it returns to X.
hahah man you have done 99% of that question..but failed to obtain the right answer. The distance you calculated 0.4 metres is the distance the particle travels from X to its highest point. After that it will fall again, to the point X.(question demands of the time taken from leaving X and then coming back to X again.) So we will have to multiply it by 2.
So 2(0.4)= 0.8 metres.
Hope that Helps