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25.48m/s

How:

At the maximum height the velocity of the ball wil be zero for that instant in time

so when t=2.6 v=0

Accleration due to gravity (a) is always equal to -9.8m/s^2

Now you have 3 knowns and 1 unknow find the equation that has these four:

a=(v-u)/t

substitute the values and you will get 25.48m/s for u

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