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Mechanics 1 - Pulleys question watch

1. This question has me a little stumped. My first instinct is to go with a constant acceleration equation, but I'm sure I remember my tutor talking about how when one weight hits the floor, the other continues upwards for a while before falling. Here:

Two particles A and B of mass 4kg and 3kg respectively are connected by a light inextensible string which passes over a smooth fixed pulley. The particles are released from rest with the strings taught.

a) Find the tension in the string.
[Already done, and checked as correct: 33.6N]

b) When A has travelled a distance of 2m it strikes the ground and immediately comes to rest. Assuming that B does not hit the pulley, find the greatest height reached by B above its initial position.

I have an idea of how to work it, but I'm not 100% sure on my method, so I figured I'd ask you guys.
2. You know that the tensions cancel out so you can do F(of particle B) -F(of particle A)=ma????

I'm not sure, I've only been doing this recently in Further Maths AS and I'm not the sharpest tool in the shed :P
3. (Original post by e-mily)
This question has me a little stumped. My first instinct is to go with a constant acceleration equation, but I'm sure I remember my tutor talking about how when one weight hits the floor, the other continues upwards for a while before falling. Here:

Two particles A and B of mass 4kg and 3kg respectively are connected by a light inextensible string which passes over a smooth fixed pulley. The particles are released from rest with the strings taught.

a) Find the tension in the string.
[Already done, and checked as correct: 33.6N]

b) When A has travelled a distance of 2m it strikes the ground and immediately comes to rest. Assuming that B does not hit the pulley, find the greatest height reached by B above its initial position.

I have an idea of how to work it, but I'm not 100% sure on my method, so I figured I'd ask you guys.

look at a similar question in this link

look at Q13 last part

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