Finding displacement with acc and vel

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jebii
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I'm working on a problem involving pulleys and would appreciate help. I know the initial starting positions of both objects (0.3 m above ground) and their initial velocity which is zero. The question wants me to find the maximum height the lighter object can achieve - i.e. its height even after the heavier object hits the ground, since it will be carried upwards by momentum. I have worked out the velocity of both objects, which are same magnitude and opposite directions, through equating kinetic energy and work done by gravity (since I know both their masses). I can also presume that, when the heavier object hits the ground, the lighter would have been lifted up by 0.3m, making it a total of 0.6m. I am just having problems with the additional height the lighter object travels through momentum, since I need to take into account the downward acceleration by gravity. (I am not given any information regarding time). Any advice on how to approach this would be appreciated.
 
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