If she swings out to 45° then the vertical component of the swing chains will be 3cos45° so the amount she will have risen will be 3 - 3cos45° which is about 0.88m
Now from that you can work out her potential energy which will be mass x height = 20 x 0.88 x g = 172.48J
Assuming no losses that means that her kinetic energy at the bottom of the swing will be the same, so from 172.48 = 1/2mv^2
v^2 = 17.248 so v= 4.15m/s
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