8.04924 m/s²
Explanation:
r = Distance the child is from the center = 4.65 m
= Angular acceleration = 0.745 rad/s²
= Angular velocity = 1.25 rad/s
Velocity is given by
Radial acceleration is given by
Tangential acceleration is given by
The resultant acceleration is given by
The magnitude of the acceleration of the child is 8.04924 m/s²