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IBDP Physics Topic 1.3 Vectors

Total questions: 22

Worksheet time: 31mins

Name
Class
Date
1.
How do you combine vectors if they are in the same direction?
a)
Add
b)
Subtract
c)
Pythagorean Theorem
d)
Use Trigonometry
2.
How do you combine vectors if they are in opposite directions?
a)
Add
b)
Subtract
c)
Pythagorean Theorem
d)
Use trigonometry
3.

What is a simple method to find the resultant of two vectors if the vectors are at a right angle to each other?

a)
Multiply
b)
Divide
c)
Pythagorean Theorem
d)

Law of Sines

4.

The vertical value of a vector, such as the height

a)

Resultant vector

b)

Component vector

c)

x-component

d)

y-component

5.

The horizontal value of a vector, such as the range

a)

Resultant vector

b)

Component vector

c)

x-component

d)

y-component

6.

All of the parts that a vector is broken into

a)

Resultant vectors

b)

Component vectors

c)

x-components

d)

y-components

7.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
8.
solve for c
a)
7
b)
9
c)
4
d)
13
9.

What is the length of the missing side?

a)

x = 4

b)

x = 8

c)

x = 10

d)

x = 16

10.
What is the ratio for Sine?
a)
Hyp/Opp
b)
Opp/Hyp
c)
Opp/Adj
d)
Adj/Opp
11.
What is the ratio for Cosine?
a)
Opp/Hyp
b)
Opp/Adj
c)
Adj/Opp
d)
Adj/Hyp
12.

What is the ratio for Tangent?

a)

Opp/Adj

b)

Adj/Opp

c)

Opp/Hyp

d)

Hyp/Opp

13.

To find the missing side Vx, what equation would we set up?

a)

cos(27°)=Vx16.8\cos\left(27\degree\right)=\frac{V_x}{16.8}

b)

sin(27°) = Vy16.8\sin\left(27\degree\right)\ =\ \frac{V_y}{16.8}

c)

tan(27°) = VyVx\tan\left(27\degree\right)\ =\ \frac{V_y}{V_x}

d)

cos(27°) = 16.8Vy\cos\left(27\degree\right)\ =\ \frac{16.8}{V_y}

14.

To find the missing side Vy, what equation would we set up?

a)

cos(27°)=Vx16.8\cos\left(27\degree\right)=\frac{V_x}{16.8}

b)

sin(27°) = Vy16.8\sin\left(27\degree\right)\ =\ \frac{V_y}{16.8}

c)

tan(27°) = VyVx\tan\left(27\degree\right)\ =\ \frac{V_y}{V_x}

d)

cos(27°) = 16.8Vy\cos\left(27\degree\right)\ =\ \frac{16.8}{V_y}

15.

To solve for the missing angle, what trig equation do we set up?

a)

x=sin1(300400)x=\sin^{-1}\left(\frac{300}{400}\right)

b)

x=cos1(300400)x=\cos^{-1}\left(\frac{300}{400}\right)

c)

x=tan1(300400)x=\tan^{-1}\left(\frac{300}{400}\right)

d)

x=tan1(400300)x=\tan^{-1}\left(\frac{400}{300}\right)

16.
Solve for the missing angle. Round the nearest degree. 
a)
50
b)
1
c)
37
d)
95
17.

For 1 hour, you travel east in your car covering 100 km. Then travel south 100 km in 2 hours. You would tell your friends that your average speed was

a)

47 km/hr

b)

67 km/hr

c)

75 km/hr

d)

141 km/hr

e)

200 km/hr

18.

For 1 hour, you travel east in your car covering 100 km. Then travel south 100 km in 2 hours. You would tell your friends that your average velocity was

a)

47 km/hr

b)

67 km/hr

c)

75 km/hr

d)

141 km/hr

e)

200 km/hr

19.

You have already traveled east in your car 100 km in 1 hr and then south 100 km in 2 hrs. To get back home, you then drive west 100 km for 3 hours and then go north 100 km in 4 hours. You would say your average velocity for the total trip was

a)

20 km/hr

b)

40 km/h

c)

60 km/h

d)

.100 km/hr

e)

none of the above

20.

You fly east in an airplane for 100 km. You then turn left 60 degrees and travel 200 km. How far east of the starting point are you? (approximately)

a)

100 km

b)

150 km

c)

200 km

d)

300 km

e)

None of the above

21.

You fly east in an airplane for 100 km. You then turn left 60 degrees and fly 200 km. How far north of the starting point are you? (approximately)

a)

100 km

b)

130 km

c)

170 km

d)

200 km

e)

None of the above

22.

You fly east in an airplane for 100 km. You then turn left 60 degrees and fly 200 km. How far FROM the starting point are you? (approximately)

a)

170 km

b)

200 km

c)

260 km

d)

300 km

e)

370km