# MECHANICS (challenging question) - Immediate Help needed

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Two particles, X and Y, are moving on parallel horizontal tracks. At time t=0 both particles pass O (a fixed point). Both particles moves to the left of O. Velocity of X = 3 m/s and Acceleration of X = 5 m/s^2.

Velocity of Y = 7 m/s and Acceleration of Y = 2 m/s^2.

FIND;
(1) the velocity of Y at the instant when X changes direction of motion.
My answer is 8.2 m/s. I found that X changes direction when t=(3/5) seconds.

(2) the time that elapses, from t=0, before both particles have the same velocity.
My thoughts:
I tried to sketch a velocity time graph for both particles. I guess for the two particles to have the same velocity, they should intersect. But then, particle Y is moving to the left and particle X to the right(changes direction of motion)
I can't figure it out.

(3) the time that elapses from t=0, before X overtakes Y ???????????????????????

Thanks
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