mechanics question help

Hi,
i was wondering if someone would just mind checking my working for part c of this question bc i'm not sure if i did it right.
Here is the question:

My working:
From part b i worked out the max height to be 44.1m.
i used s = u + 1/2 at^2
44.1 = 29.4t - 4.9t^2
4.9t^2 - 29.4t +44.1 = 0
I then used the quadratic formula to find t given that:
a = 4.9, b = -29.4 and c = 44.1, giving t = 3.

Is this correct?

Why are you using s=44.1 in part c? You need the times when s = 10.

OOH of course! my mind completely blanked lol thanks for pointing that out. other than that though, is the method correct?

Yes.