Answer:
50.3 m/s²
Step-by-step explanation:
Centripetal acceleration is:
a = v² / r
where v is velocity and r is radius.
First, calculate the velocity. Velocity is distance divided by time. The distance is the number of circumferences traveled by the ball.
v = x / t
v = (15.0 × 2π × 0.230 m) / 6.37 s
v = 3.40 m/s
Therefore:
a = (3.40 m/s)² / 0.230 m
a = 50.3 m/s²