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20. The acceleration is constant so that use of Table 21 (for both the
x
and
y
motions) is
permitted. Where units are not shown, SI units are to be understood. Collision between
particles
A
and
B
requires two things. First, the
y
motion of
B
must satisfy (using Eq. 215
and noting that
θ
is measured from the
y
axis)
22
2
11
30 m
(0.40 m/s ) cos
.
y
ya
t
t
ªº
=
¡
=
¬¼
Second, the
x
motions of
A
and
B
must coincide:
2
(3.0 m/s)
(0.40 m/s ) sin
.
x
vt
a t
t
t
=
¡
=
We eliminate a factor of
t
in the last relationship and formally solve for time:
2
(
3
.
0
m
/
s
)
.
(0.40 m/s ) sin
x
v
t
a
==
This is then plugged into the previous equation to produce
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This note was uploaded on 05/17/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
 Spring '08
 Any
 Physics, Acceleration

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