Section Quiz 3-2 - Schools of the Sacred Heart

Name Class Date
Assessment
Two-Dimensional Motion and Vectors
Section Quiz: Vector Operations
Write the letter of the correct answer in the space provided.
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1. In a diagram, a student draws a vector representing the velocity of a
plane traveling at 525 km/h 18.0° east of north as a vector lying along
the x-axis. To represent the velocity of another plane traveling at 478
km/h 75.0° east of north on the diagram, at what orientation with
respect to the x-axis should the student draw this vector
a. 93.0° clockwise from the x-axis
b. 75.0° clockwise from the x-axis
c. 57.0° clockwise from the x-axis
d. 75.0° counterclockwise from the x-axis
2. In question 1, another student chose east as the direction of the
x-axis. At what orientation with respect to the +x-axis should this
student draw the vector representing the velocity of the second plane
a. parallel to the x-axis
b. 90.0° clockwise from the x-axis
c. 75.0° clockwise from the x-axis
d. 15.0° counterclockwise from the x-axis
3. In a school playground, a child runs 5 m in the x-direction and then
2.0 m in the y-direction. Which of the following expressions represents
the magnitude of the child’s resultant displacement
a. (5 m) (2 m) c. (5 m) 2 m) (2
2
b. (5 m)
(2 m)
d. (5 m) 2 2 (m) 2
4. In the triangle below, what does q equal
d
y
q
x
x
y
1 a. tan y
x
b. tan 1
y
1 c. tan x
d
1 d. tan d
Copyright © by Holt, Rinehart and Winston. All rights reserved.
Holt Physics 15 Quiz

Name Class Date
Two-Dimensional Motion and Vectors continued
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5. The projection of a vector along the axes of a coordinate system is
called
a. a component of the vector.
b. a tangent of the vector.
c. the resultant of the vector.
d. the magnitude of the vector.
6. The components of a vector are
a. each equal to half the magnitude of the vector.
b. independent of the orientation of the vector.
c. perpendicular.
d. vector quantities.
7. A vector that has components that lie along the x-axis and the
y-axis is oriented at angle A measured counterclockwise from the
x-axis. Which of the following ranges give the values of angle A
a. 0° < A < 90°
b. 90° < A < 180°
c. 180° < A < 270°
d. 270° < A < 360°
8. If the x-component of B equals the magnitude of B, then
a. both components are equal.
b. B y equals B 2 2
B.
x
c. B y equals zero.
d. B y lies along the y-axis.
9. What must you do to non-perpendicular vectors before you can use the
Pythagorean theorem to calculate the resultant of the vectors
10. In a blinding blizzard, a reindeer trudges 310 m 45° east of south across the
tundra. How far south does the reindeer move
Copyright © by Holt, Rinehart and Winston. All rights reserved.
Holt Physics 16 Quiz

TEACHER RESOURCE PAGE
3Two-Dimensional Motion
and Vectors
VECTOR OPERATIONS
1. c 5. a
2. d 6. c
3. d 7. b
4. a 8. c
9. The vectors must be resolved into
components. Then the horizontal component
must be added and the vertical
components must be added. The two
perpendicular resultants can now be
added using the Pythagorean theorem.
10. 220 m
Given
d 310 m 45° east of south
Solution
d y dcosq (310 m)(cos 45°)
220 m
3Two-Dimensional Motion
and Vectors
PROJECTILE MOTION
1. d 5. a
2. a 6. a
3. c 7. d
4. a 8. b
9. If the object is launched and caught
from the same initial vertical position,
its vertical displacement is zero
because it was moving first up and
then down the same distance while
moving horizontally during its flight.
10. 2.6 m/s
Given
y 3.0 m
x 2.0 m
Solution
y 1 2 a y (t) 2
t 2 y
a
2 y
g
y
v x v avg, x x
t
x g
2y
3Two-Dimensional Motion
and Vectors
RELATIVE MOTION
1. a 5. c
2. a 6. b
3. d 7. a
4. d 8. c
9. The dummy’s motion relative to the
camera would be zero. So, the dummy
would appear to be at rest with
respect to the camera.
10. 0.58 m/s
Given
v dc 0.50 m/s due north
v cb 0.30 m/s due east
Solution
v db v dc v cb
(v db ) 2 (v dc ) 2 (v cb ) 2
v db (v dc ) 2 ) (v 2 cb
(0.50 /s) m 2 m/s) (0.30
2
v db 0.58 m/s
4Forces and the Laws
of Motion
CHANGES IN MOTION
1. b 5. d
2. b 6. a
3. d 7. c
4. d 8. d
9. 1. Identify the forces acting on the
body and the direction of the forces.
2. Draw a diagram to represent the
isolated object.
3. Draw and label force vectors for all
the external forces acting on the
object.
(2.0 m)
(9.81 m/s 2 )
2(3.0 m)
2.6 m/s
Copyright © by Holt, Rinehart and Winston. All rights reserved.
Holt Physics 153 Answer Key