40
Motion in One Dimension
P2.46
At any time
t
, the position of the ball released from rest is given by
yh
g
t
1
2
1
2
=
−
. At time
t
, the
position of the ball thrown vertically upward is described by
yv
t
g
t
i
2
2
1
2
=
−
. The time at which the
first ball has a position of
y
h
1
2
=
is found from the first equation as
h
hg
t
2
1
2
2
=
−
, which yields
t
h
g
=
. To require that the second ball have a position of
y
h
2
2
=
at this time, use the second
equation to obtain
h
v
h
g
g
h
g
i
2
1
2
=
−
F
H
G
I
K
J
. This gives the required initial upward velocity of the second
ball as
vg
h
i
=
.
P2.47
(a)
vv
g
t
fi
=
−
:
v
f
=
0 when
t
=
300
.
s
,
g
=
980
m
s
2
. Therefore,
t
i
==
(
)
=
9 80
3 00
29 4
..
.
ms
s
2
ch
.
(b)
yy
t
−
=+
1
2
−=
=
1
2
29 4
3 00
441
.
s
m
bg
af
*P2.48
(a)
Consider the upward flight of the arrow.
a
y
y
y
y
yf
yi
y
f
i
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .
 Fall '11
 Staff
 Physics

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