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(b) Using Eq. 22, the magnitude of the average velocity is
avg
38.1 m
5.20 m
9.02 m/s
4.80 s
Dh
v
T
++
==
=
(c) In our coordinate choices, a positive sign for
v
avg
means that the ball is going
downward. If, however, upwards had been chosen as the positive direction, then this
answer in (b) would turn out negativevalued.
(d) We find
v
0
from
2
1
0
2
y
vt
g
t
Δ= +
with
t
=
T
and
Δ
y
=
h
+
D
. Thus,
()
2
0
9.8 m/s
4.80 s
5.20 m
38.1 m
14.5 m/s
24
.
8
0
s
2
hD g
T
v
T
=−
=
−
=
(e) Here in our coordinate choices the negative sign means that the ball is being thrown
upward.
74. (a) Let the height of the diving board be
h
. We choose
down
as the +
y
direction and
set the coordinate origin at the point where it was dropped (which is when we start the
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 Spring '06
 Stoler
 Physics

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