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Mathematics
Problem
Water shoots out of a pipe at ground level at an angle of
45
∘
45^{\circ}
4
5
∘
to the horizontal. It lands
20
m
20\,\text{m}
20
m
away. Modeling the stream as a parabola
y
=
a
x
2
+
b
x
y = ax^{2} + bx
y
=
a
x
2
+
b
x
, find the maximum height reached by the water.
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