The speed of the child is 2.21 m/s
Explanation:
The child is moving in circular motion. First of all, we find its frequency of revolution, which is given by:

where
N = 11 is the number of revolutions
t = 25.4 s is the time elapsed
So,

Now we find the angular frequency, which is given by

And now we can fidn the linear speed of the child, which is given by

where
is the angular frequency
r = 0.811 m is the radius of the circular trajectory
Substituting,

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