Ch 4: GE 208K
Problem Sheet 4
1.
A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates as functions
of time are given by the following expressions:
2
2
t
)
s
/
m
90
.
4
(
t
)
s
/
m
0
.
4
(
y
t
)
s
/
m
0
.
18
(
x

=
=
a.
Write a vector expression for the ball’s position as a function of time,
using the unit vectors i and j.
b.
Obtain expression for velocity and acceleration as a function of time
c.
Using the unit vector notation, find the position, velocity and acceleration
at t = 3.00 s
2.
The coordinates of an object moving in the xy plane vary with time according to
the equation
)
wt
cos(
)
m
0
.
5
(
)
m
0
.
4
(
y
)
wt
sin(
)
m
0
.
5
(
x

=

=
where w is constant and t is in seconds.
a.
Determine the components of velocity vector and acceleration at t = 0.
b.
Write the expressions of velocity and acceleration at any time t >0
3.
At t = 0, a particle moving in the xy plane with a constant acceleration has a
velocity of
s
/
m
)
j
ˆ
00
.
2
i
ˆ
00
.
3
(
v
initial

=
and is at the origin. At t = 3.0s, the
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 Spring '10
 Tsoi
 Acceleration, Velocity, 15.0m

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