Answer:
[tex]20.8 m/s^2[/tex]
Explanation:
The centripetal acceleration of the child, which is moving by uniform circular motion, is given by
[tex]a=\frac{v^2}{r}[/tex]
where
v = 5 m/s is the tangential speed of the child
r = 1.2 m is the radius of the circular path
Substituting the numbers into the equation, we find
[tex]a=\frac{(5 m/s)^2}{1.2 m}=20.8 m/s^2[/tex]
