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People's education edition ninth grade volume 2 math exercise 26.3 answer to question 5, please give a detailed process thank you for the main writing process.
If the relationship is a problem, it is a linear function with no solution.

If the relation is H = 30t 2-5t, the opening is upward, so it is impossible to appear and there is no solution.

If the relation is h = 30t-5t 2, the opening is downward and there is a solution.

h=5t(6t- 1)=0

t 1=0 t2= 1/6

When t = (t1+t2)/2 =112s, the maximum value is taken.

H = 355/144m