Since child is revolving on the merry go round
So here speed of child is 2 m/s and its radius is given as 1.5 m
Now during revolution of wheel the acceleration of child is known as centripetal acceleration
It is given as
![a = (v^2)/(R)](https://img.qammunity.org/2020/formulas/physics/middle-school/u50dskzbos1fdw49koew38a6j0wv6ofxdz.png)
![a = (2^2)/(1.5)](https://img.qammunity.org/2020/formulas/physics/middle-school/b5jr3xmxh12m2hbfd41ej1jooc6uhnpjcq.png)
![a = (8)/(3) m/s^2](https://img.qammunity.org/2020/formulas/physics/middle-school/3p4lsdqljdvt9u2ejlxfswt7d3hk6s3dbc.png)
so here acceleration of child will be 2.67 m/s^2