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Mathematics
Problem
The height of a ball launched vertically is given by
h
(
t
)
=
−
16
t
2
+
64
t
+
5
h(t)=-16t^{2}+64t+5
h
(
t
)
=
−
16
t
2
+
64
t
+
5
for
t
≥
0
t\ge 0
t
≥
0
, where
h
h
h
is in feet and
t
t
t
is in seconds. Determine the time at which the ball reaches its maximum height, and state that maximum height.
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