1
Multiple Choice
1.
A particle starts from the origin at
t
= 0 with a velocity of 8.0j
m/s and moves in the
xy
plane with a constant acceleration of
(4.0i + 2.0j) m/s
2
.
At the instant the
x
coordinate of the
particle is 29 m, what is the value of its
y
coordinate?
a. 35 m
b. 39 m
c. 45 m
d. 42 m
e. 29 m
2.
At
t
= 0, a particle leaves the origin with a velocity of 9.0 m/s in
the positive
y
direction and moves in the
xy
plane with a constant
acceleration of (2.0i – 4.0j) m/s
2
.
At the instant the
x
coordinate
of the particle is 15 m, what is the speed of the particle?
a. 10 m/s
b. 16 m/s
c. 12 m/s
d. 14 m/s
e. 26 m/s
3.
A particle starts from the origin at
t
= 0 with a velocity of 6.0i
m/s and moves in the
xy
plane with a constant acceleration of
(–2.0i + 4.0j) m/s
2
.
At the instant the particle achieves its
maximum positive
x
coordinate, how far is it from the origin?
a. 36 m
b. 20 m
c. 45 m
d. 27 m
e. 37 m
4.
A particle leaves the origin with a velocity of 7.2 m/s in the
positive
y
direction and moves in the
xy
plane with a constant
acceleration of (3.0i – 2.0j) m/s
2
.
At the instant the particle moves
back across the
x
axis (
y
= 0), what is the value of its
x
coordinate?
a. 65 m
b. 91 m
c. 54 m
d. 78 m
e. 86 m
5.
At
t
= 0 a particle leaves the origin with a velocity of 5.0 m/s
in the positive
y
direction.
Its acceleration is given by a =
(3.0i – 2.0j) m/s
2
.
At the instant the particle reaches its
maximum
y coordinate how far is the particle from the
origin?
a. 11 m
b.
16 m
c. 22 m
d. 29 m
e. 19 m
6.
A particle moves in the
xy
plane with a constant acceleration
given by a = –4.0j
m/s
2
.
At
t
= 0 its position and velocity are
10i m and (–2.0i
+ 8.0 j) m/s, respectively.
What is the
distance from the origin to the particle at
t
= 2.0 s?
a. 6.4 m
b. 10 m
c. 8.9 m
d. 2.0 m
e. 6.2 m
7.
A particle starts from the origin at
t
= 0 with a velocity of (16i –
12j) m/s and moves in the
xy
plane with a constant acceleration of
a = (3.0i – 6.0j) m/s
2
.
What is the speed of the particle at
t
= 2.0
s?
a. 52 m/s
b. 39 m/s
c. 46 m/s
d. 33 m/s
e. 43 m/s
8.
At
t
= 0, a particle leaves the origin with a velocity of 12 m/s in
the positive
x
direction and moves in the
xy
plane with a constant
acceleration of (–2.0i + 4.0j) m/s
2
.
At the instant the
y
coordinate
of the particle is 18 m, what is the
x
coordinate of the particle?
a. 30 m
b. 21 m
c. 27 m
d. 24 m
e. 45 m
9.
At
t
= 0, a particle leaves the origin with a velocity of 12 m/s
in the positive
y
direction and moves in the
xy
plane with a
constant acceleration of (2.0i – 4.0j) m/s
2
.
At the instant the
particle moves back across the
x
axis (
y
= 0), what is the speed
of the particle?
a. 16 m/s
b. 17 m/s
c. 18 m/s
d. 14 m/s
e. 22 m/s
10. The initial speed of a cannon ball is 0.20 km/s.
If the ball is to
strike a target that is at a horizontal distance of 3.0 km from
the cannon, what is the minimum time of flight for the ball?
a. 16 s
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 Spring '09
 Physics, Acceleration, Velocity, m/s, race car

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