What will be the acceleration of a rock thrown straight upward at the moment it reaches the tippity-top of its trajectory?

The acceleration  is zero because when the rock reaches the tippity top of its trajectory the velocity is zero thus the acceleration is also zero.
thank you 
I hope it will help you

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Any object moving under the influence of gravity only and no other outside forces has a constant acceleration of
9.8m/s2 , directed down

The speed changes. The acceleration doesn't, regardless of the angle, speed, trajectory, color, temperature, cost, size, mass, or weight of the falling object.
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The accelerationand velocitywill be zero as the object travels in constant speed
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What are you looking for?