Answer
No this will not be a simple harmonic motion, because in simple harmonic motion, the restoring force is always proportional to the displacement but in this case a constant force of gravity will act downwards which does not depend on displacement of the ball.
Work Step by Step
No this will not be a simple harmonic motion, because in simple harmonic motion, the restoring force is always proportional to the displacement but in this case a constant force of gravity will act downwards which does not depend on displacement of the ball.