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A 0.250-kg ball is thrown upwards with an initial velocity of 12.0 m/s Determine the acceleration of the ball when it has reached the peak of it's trajectory. Assume negligible air resistance.​

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No math needed here. The only force acting on the ball is gravity. Gravity provides an acceleration of 9.8 m/s^2 downwards. This is the acceleration of the ball at every point along its trajectory, including the peak (when the VELOCITY is zero).

When ever ball do a projectile motion the acceleration will be only the acceleration due to gravity 9.8 m/s^2 acts downward.

What is projectile motion?

Projectile motion is the motion of an object thrown or projected into the air, subject to only the acceleration of gravity. The object is called a projectile, and its path is called its trajectory.

Now if the ball is thrown upward then the ball will face the constant acceleration due to gravity throughout its motion. If the ball reaches to the highest peak the the acceleration will be same as acceleration due to gravity.

Thus when ever ball do a projectile motion the acceleration will be only the acceleration due to gravity 9.8 m/s^2 acts downward.

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