Hi,

Highly recommend the following, if You do not have a graphing calculator

FREE graph software  https://www.padowan.dk/download/ 

s(t) = −16t2 + 64t + 47            |format at^2 + bt + c

Apply:  b/-2a

       x = 2 is the x value of the maximum

Using Your graphing calculator, evaluate s(2)

s(2) = 111 ft

In this case completing the Square is doable:

y = -16(t-2)^2 + 111

can read max point off that (2,111) Know it opens downward as a = -16

Wish You the Best in your Studies.

 

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