How do I find the highest height in this Mechanics/Suvat question?

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I've found the speed of Q when P hits the ground already; its 4.43. I've tried using that information to find the height, and I get 2M, when the answer is 3m. I think I'm going about this the wrong way, can someone help?

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It can't be 2m as Q is at 2m already when P hits the ground. Q is moving upward at that time. You need to compute how far Q rises against gravity when starting at 4.43 m/sec upward.