Okay, here are the steps to solve this problem:
1. We are given the mass of the basketball (m = 1.5 kg) and the force applied (F = 60 N)
2. We want to find the acceleration of the basketball (a)
3. We use Newton's second law: F = ma
4. Rearranging to solve for acceleration, we get: a = F/m
5. Plugging in the given values: a = 60 N / 1.5 kg = 40 m/s2
Therefore, the acceleration of the basketball is 40 m/s2.