ANSWER

Step-by-step explanation
Parameters given:
Initial velocity, u = 26.2 m/s
When the vase reaches its maximum height, its velocity becomes 0 m/s. That is the final velocity.
We can now apply one of Newton's equations of motion to find the height:

where a = g = acceleration due to gravity = 9.8 m/s²
Therefore, we have that:

That is the height that the vase will reach.