Answer:
32.7 m
Step-by-step explanation:
If it is in the air for 5.16 s the highest point is at one-half of this time
= 5.16/2 = 2.58 s <====== at this point velocity = zero
vf = vi + at
0 = vi - 9.8 (2.58) shows vi = 25.3 m/s
d = vi t + 1/2 at^2
= 25.3 (2.58) - 1/2 (9.8) (2.58^2 ) = max height = 32.7 meters