h(t)=-16t²+96t=
-16(t²-6t)=
-16(t²-6t+9-9)=
-16(t-3)²+144.
(1) Max height 144 feet.
(2) Time to reach 144 feet=3 seconds.
f(t)=-5t²+20t+5=
5-5(t²-4t+4-4)=
25-5(t-2)².
(3) Time to reach max height=2 seconds.
(4) Max height=25m.
h(t)=-16t²+160t+4=
4-16(t²-10t+25-25)=
404-16(t-5)².
(5) Time to reach maximum height=5 seconds.
(6) Maximum height = 404 feet.
h(t)=-16t²+64t=
-16(t²-4t+4-4)=
-16(t-2)²+64.
(7) Max height=64 feet.
(8) Time to reach maximum height = 2 seconds.
f(t)=-5t²+10t+5=
5-5(t²-2t+1-1)=
10-5(t-1)².
(9) Max height=10m.
(10) Time to reach max height=1 second.