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Vectors

Total questions: 46

Worksheet time: 38mins

Name
Class
Date
1.

A vector is a ray with both ____________ and _____________.

a)

Wings and halos

b)

Space and time

c)

Direction and magnitude

d)

Radicals and exponents

2.

A car travels 90 meters due north in 15 seconds. Then the car turns around and travels 40 meters due south.  What is the magnitude and direction of the car's resultant displacement?  

a)

40 meters, South

b)

50 meters, South

c)

50 meters, North

d)

40 meters, North 

3.
Is this a scalar quantity or a vector quantity?
A deer running 15 meters per second due west
a)
Scalar
b)
Vector
4.
If a boomerang is thrown 20 m in a straight line and returns exactly to the spot it was thrown what is its displacement?
a)
20m
b)
40m
c)
0m
d)
-20m
5.
If a car moves 12 km North, 19 km East, and 12 km South, what is its displacement?
a)
12 km
b)
19 km, East
c)
31 km
d)
43 km, East
6.
Which of these is not a vector quantity? 
a)
displacement 
b)
time
c)
velocity 
d)
acceleration
7.
Which of the following quantities are vectors?
a)
speed, velocity, acceleration
b)
velocity, acceleration, force
c)
force, acceleration, mass
d)
length, mass, time
8.
The _______ of two or more vectors is the sum of the vectors.
a)
components
b)
scalar
c)
resultant
d)
magnitude
9.
What is the net force?
100 N        230 N
<------        --------->
a)
30 N to the right
b)
230 N to the right
c)
130 N to the right
d)
This is a balanced force
10.
What is the x component of the vector given in the diagram?
a)
77N
b)
92N
c)
120N
d)
60N
11.
What is the y component of the vector given in the diagram?
a)
77N
b)
92N
c)
120N
d)
60N
12.

A vector has...

a)

two components (x and y)

b)

one component (y)

c)

one component (x)

d)

length and degrees

13.

In order to find the x-component of a vector with magnitute 7 m and angle 30° we will use the formula...

a)

cos (30)

b)

sin(30)

c)

7*sin(30)

d)

7*cos(30)

14.

In order to find the y-component of a vector with magnitute 7 m and angle 30° we will use the formula...

a)

cos (30)

b)

sin(30)

c)

7*sin(30)

d)

7*cos(30)

15.

The following vector (5 N, 290°) will be drawn on the _____ quadrant

a)

first

b)

second

c)

third

d)

fourth

16.

The physical quantities having only magnitude but no direction are said to be .................. quantities

a)

Scalar

b)

vector

c)

Tensor

d)

Unit

17.

In vector diagrams, vector arrows must be joined head-to-tail.

a)

True

b)

False

18.

Resultant angles are always measured _________ from the horizontal.

a)

clockwise

b)

counterclockwise

19.

What is this Equation: a2+b2=c2a^2+b^2=c^2  

a)

Standard Vector Form

b)

Resultant Vector

c)

Pythagorean Theorem

d)

Equation of a Circle

20.

Which one of these does not show an example of the head to tail method of vector addition?

a)
b)
c)
d)
21.

How do you determine the horizontal component of a 30 N vector at 110 degrees from the positive x-axis?

a)

30 sin 110

b)

30 cos 110

c)

110 sin 30

d)

110 cos 30

22.

A cat walks 3 meters west toward a laser, then jumps 5 meters due south of the laser when it sees a string. What is the total distance the cat has traveled (to the nearest tenth)?

a)

3.0m

b)

5.0m

c)

8.0m

d)

5.8m

23.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
24.

A boat is traveling at 50 m/s in a river flowing at 15 m/s in the exact same direction. What is the resultant velocity of the boat?

a)

65 m/s

b)

35 m/s

c)

52 m/s

d)

It cannot be determined

25.

Tony walks 3 m and then 4 m. Which of these can not be his displacement?

a)

7 m if they are in the same direction

b)

1 m if they are in opposite directions

c)

5 m if they are perpendicular directions

d)

8 m if they are in the same direction

26.

Which is the best description for the 2 vectors pictured?

a)

AB represents 20 m Southeast and CD represents 10 m Northwest

b)

AB represents 10 m Southeast and CD represents 20 m Northwest

c)

AB represents 10 m Northwest and CD represents 20 m Southeast

d)

AB represents 20 m Northwest and CD represents 10 m Southeast

27.

Symbol for horizontal velocity

a)

Vx

b)

dx

c)

Vy

d)

dy

28.
In practice A of the figure, What is  the magnitude of the  resultant displacement?
a)
5 km 
b)
8 km
c)
11 km
d)
15 km
29.
In practice A of the figure, what is the direction of the resultant displacement?
a)
63 degrees, South of East
b)
63 degrees, North of West
c)
27 degrees, North of West
d)
27 degrees, South of West
30.
Jerry walked from home to school, then from the school to the park.  What is his total distance?
a)
2 km
b)
5 km
c)
8 km
d)
10 km
31.
Jerry walked from home to school, then from the school to the park.  What is his total displacement?
a)
2 km
b)
5 km
c)
8 km
d)
10 km
32.
Which of the following describes distance and displacement correctly?
a)
The blue arrow shows distance and the orange arrows show displacement
b)
The blue arrow shows displacement and the orange arrows show distance
c)
Both arrows show distance only
d)
Both arrows show distance and displacement
33.
Given the magnitude & direction of the resultant, find the horizontal & vertical components. Direction: 287° Magnitude: 422mph
a)
Horizontal -403.6
 Vertical 123.4
b)
Horizontal 123.4
Vertical -403.6
c)
Horizontal 123.4
Vertical 403.6
d)
Horizontal -123.4 
Vertical -403.6
34.
Wind blowing at 20 mph.Vector or scalar?
a)
Scalar
b)
Vector
35.

When adding two vectors graphically, a+b=c. Does b+a produce the same resultant vector c?

a)

Yes, two vectors added together always produce the same resultant vector

b)

No, because order matters

c)

Yes, but c will be pointing in the opposite direction

d)

No, because you can't add two vectors

36.

When subtracting two vectors, a-b=c. Does b-a produce the same resultant vector c?

a)

Yes, two vectors subtracted together always produce the same resultant vector

b)

No, because order matters

c)

Yes, but c will be pointing in the opposite direction

d)

No, because you can't subtract two vectors

37.

What is the resultant of these two vectors?

a)

+17 m

b)

+3 m

c)

-17 m

d)

-3 m

38.

Which of the following describes the vector above?

a)

45 cm

b)

45 cm at 30 degrees North of East

c)

45 cm at 30 degrees East of North

d)

45 cm North East

39.
Using degrees only, what is the direction of the vector?
a)
40o
b)
50o
c)
130o
d)
320o
40.
Using degrees only, what is the direction of the vector?
a)
40o
b)
50o
c)
220o
d)
230o
41.
Using degrees only, what is the direction of the vector?
a)
220o
b)
230o
c)
310o
d)
320o
42.

The resultant direction is 40o North of East. What is the equilibrant direction?

a)

220o

b)

220o North of East

c)

40o South of West

d)

40o East of North

43.

The order in which vectors is added will effect the end result.

a)

True

b)

False

44.

Vector A is directed northward and vector B is directed eastward. Which of the following vector addition diagrams best represent the addition of vectors A and B and the subsequent resultant?

a)

A

b)

B

c)

C

d)

D

e)

E

45.

What is the relationship between the equilibrant and the resultant vector?

4 lines
46.

The equilibrant has the same magnitude and direction as the resultant vector.

a)

True

b)

False