49. We neglect air resistance, which justifies setting
a
= –
g
= –9.8 m/s
2
(taking
down
as
the –
y
direction) for the duration of the motion. We are allowed to use Table 21 (with
Δ
y
replacing
Δ
x
) because this is constant acceleration motion. We are placing the coordinate
origin on the ground. We note that the initial velocity of the package is the same as the
velocity of the balloon,
v
0
= +12 m/s and that its initial coordinate is
y
0
= +80 m.
(a) We solve
yy v
t g
t
=+
−
00
1
2
2
for time, with
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 Spring '06
 Stoler
 Physics, Resistance, Acceleration, Velocity, constant acceleration motion, y direction

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