Question 1173489
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Hi,
Highly recommend the following, if You do not have a graphing calculator
FREE graph software  https://www.padowan.dk/download/ 
s(t) = - 4.9t^2 + 7.6t + 10         |format at^2 + bt + c
Opening  downward as a < 0
Apply:  b/-2a
{{{(7.6)/(-2)(-4.9) = .78}}}    t = .78 sec is the x value of the maximum
Using Your graphing calculator, evaluate  s(38/49)
h(.78) = 12.9 m
Wish You the Best in your Studies.