Final answer:
The centripetal acceleration of a ball moving at 6.0 m/s in a circle of radius 9.0 meters is 0.4 m/s², which corresponds to Option A.
Step-by-step explanation:
The centripetal acceleration (ac) of an object moving at a constant speed in a circular path is given by the formula ac = v2 / r, where v is the linear velocity and r is the radius of the circular path. In the case of a ball traveling at 6.0 meters per second in a circle of radius 9.0 meters, we can calculate the centripetal acceleration using the provided values:
ac = (6.0 m/s)2 / (9.0 m)
Substituting the values, we get:
ac = (36 m2/s2) / 9.0 m = 4 m/s2
This means the correct answer to the student's question is Option A: 0.4 m/s2.