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α
v
0
x
z
z
max
h
1
h
0
x
0
δ
x
1
R
We have “reversed the trajectory so that
h
0
(= 9.8 ft), and
x
0
, the height and range within
which Mickey can catch the ball represent the starting point of the trajectory.
h
1
(=3.28
ft) is the height of the ball when Mickey strikes it at home plate.
δ
is the distance behind
home plate where the ball would be hypothetically launched at some angle
α
to achieve
the total range
R
.
x
1
(=328 ft) is the distance the ball actually would travel from home
plate if not caught by Mickey. (Note, because of the symmetry,
v
0
is the speed of the ball
when it strikes the ground … also at the same angle
α
at which was launched.
We will
calculate the value of
x
0
assuming a timereversed trajectory!)
(1) The range of the ball …
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 Fall '11
 JohnAnderson
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