Answer:
t= 2 at max h = 20
(2,20)
Explanation:
-5t^2+20t
=-5(t^2 -4t+4) +20
= -5(t-2)^2 +20
vertex = (2,20)
or
h=-5t^2+20t
h'= -10t+20=0
t= 20/10=2 sec to max height
double it to hit the ground = 4 seconds in the air
max h= h(2)= -5(2)^2 +20(2)= 20 meters high