The acceleration of both the bowling ball and the Nerf ball would be the same.

* Gravity is the key: The acceleration of objects falling near the Earth's surface is due to gravity. Gravity pulls on all objects equally, regardless of their mass or shape. This means both the bowling ball and the Nerf ball will accelerate at approximately 9.8 m/s² (meters per second squared).

Important Note: This assumes we're neglecting air resistance. In reality, air resistance will affect the Nerf ball more significantly due to its larger surface area and lighter weight. This means the Nerf ball will take slightly longer to reach the ground.