We would apply one of Newton's formula for calculating motion which is expressed as
v^2 = u^2 + 2gh
where
v is the final velocity
u is the initial velocity
g is the acceleration due to gravity
h is the height
From the information given,
u = 11.57
v = 0
g = - 9.8 m/s^2
Thus,
0^2 = 11.57^2 - 2 x 9.8 x h
0 = 133.8649 - 19.6h
19.6h = 133.8649
h = 133.8649/19.6
h = 6.83m
The rock will rise 6.83 m