1. 1-D Vectors
1-D Vectors

2. Scalar vs Vector Which of these is NOT a vector measurement?
Displacement
Acceleration
Speed
Mass
Two of these
None of these

3. Velocity Vector
The rabbit and the tortoise are running as shown. What would be the appropriate velocity vectors for each animal (relative to each other)? A. B. C. D.

4. Adding Vectors in 1-D
What is the resultant of these two vectors? A.) 4 B.) 4 C.) 8 D.) 8 E.) None of these 2 6 + =

5. Adding Vectors in 1-D
What is the resultant of these two vectors? (Up is the positive direction) A.) +2 B.) - 2 C.) +18 D.) -18 E.) None of these 8 10 + =

6. Adding Vectors in 1-D
What is the resultant acceleration of 2m/s2 in the +x direction and 8m/s2 in the -x direction?
A. There is no resultant
10m/s2 in the –x direction
6m/s2 in the –x direction
6m/s2 in the +x direction
4m/s2 in the -x direction

7. Adding Vectors in 1-D
What is the resultant displacement of these two vectors? (to the right is the positive direction) A.) +6 m B.) – 6 m C.) 0 m D.) None of these 3m + =

8. Resultant Velocity
A jet plane is able to fly at 200m/s when there is no wind. If there is a wind blowing towards the East at 40m/s and the plane also flying East, what is the velocity of the plane relative to someone on the ground?
200m/s East
160m/s East
240m/s East
204m/s East
None of these

9. Resultant Velocity
A jet plane is able to fly at 200m/s when there is no wind. If there is a wind blowing towards the West at 40m/s and the plane flying East, what is the velocity of the plane relative to someone on the ground?
200m/s East
160m/s East
240m/s East
204m/s East
None of these

10. Resultant Velocity
You are able to swim at 3m/s in a swimming pool (still water). If you jump in a river with a current of 4m/s and swam upstream to the current how fast will you be going according to someone standing on the bank?
1 m/s upstream
1 m/s downstream
3 m/s upstream
7 m/s upstream
None of these

11. Adding Vectors in 1-D
What is the resultant of these two vectors? A.) 4 B.) 4 C.) 8 D.) 8 E.) None of these 2 6 - =

12. Question 3-1-5 A
A = 12m/s in the +y direction, B = 5m/s in the – y direction? What is B – A = ?
A. 17m/s in the +y direction
B. 17m/s in the –y direction
C. 7m/s in the +y direction
7m/s in the –y direction
There is no resultant B

13. Adding Vectors in 1-D
What is the resultant of these two vectors? (to the right is the positive direction) A.) +6m B.) – 6m C.) 0 D.) None of these 3m - =

14. Change in Velocity
A squirrel initially has a velocity of +3m/s, gets scared and now has a velocity of –2m/s. What was the squirrel’s change in velocity?
– 5 m/s
+ 5 m/s
– 1 m/s
+1 m/s

15. Trig Review

16. Trig Review
Calculate the value of the variable: (make sure your calculator is in DEGREE mode) A.) 13.9 B.) C.) 12 D.) 1.13 E.) None of these

17. Trig Review
Calculate the value of the variable: (make sure your calculator is in DEGREE mode) A.) 3.21 B.) 3.83 C.) 4.2 D.) 40.3 E.) None of these

18. Trig Review
Calculate the value of the variable: (make sure your calculator is in DEGREE mode) A.) 33⁰ B.) 57⁰ C.) 41⁰ D.) 49⁰ E.) None of these

19. Trig Review
Calculate the value of the variable: (make sure your calculator is in DEGREE mode) A.) 1.28 B.) 2.72 C.) 1.4 D.) 83 E.) None of these

20. Trig Review
Calculate the value of the variables: (make sure your calculator is in DEGREE mode) A.) 53⁰ B.) 37⁰ C.) 49⁰ D.) 41⁰ E.) None of these

21. Trig Review
Calculate the value of the variables: (make sure your calculator is in DEGREE mode) A.) 1.5 B.) 3.71 C.) 9.9 D.) 0.62 E.) None of these

22. Trig Review
Calculate the value of the variable: (make sure your calculator is in DEGREE mode) A.) 4.68 B.) 5.2 C.) 10.5 D.) 9.42 E.) None of these

23. Trig Review
Calculate the value of the variable: (make sure your calculator is in DEGREE mode) A.) 56⁰ B.) 34⁰ C.) 42⁰ D.) 48⁰ E.) None of these

24. Trig Review
Calculate the value of the variable: (make sure your calculator is in DEGREE mode) A.) 2.07 B.) 0.13 C.) 1.7 D.) 7.73 E.) None of these

25. Lesson 2 – 2-D Vectors

26. Drawing Vectors
Which vector illustrates 4m/s at 60° above the +x axis? A. B. C. D. E. Impossible, it is a velocity not a distance.

27. Drawing Vectors
Which vector illustrates 8m/s2 at 20° West of North? A. B. C. D. E. Impossible, it is an acceleration not a distance.

28. Drawing Vectors
Which vector illustrates -2m at 70° from the +x axis? A. B. C. D.

29. Head to Tail
What does the Resultant look like for adding these two vectors? W = 150° + T = 6 240° A. B. C. D.

30. Head to Tail
What does the Resultant look like for adding these two vectors? P = 340° + N = 18 20° A. B. C. D.

31. Head to Tail
What does the Resultant look like for subtracting these two vectors? P = 340° ̶ N = 18 20° A. B. C. D.

32. Three vectors are as shown. Which vector is the vector ?

33. Resultant
What is the resultant of 3m/s in the negative -x direction, and 4m/s in the positive +y direction? A. 53° …….. B. 53° ……………………. C. 37° …………………………………….. D. 37° ……….. E. 53°……………………….

34. Resultant
What is the resultant of 12m/s2 in the negative -x direction, and 5m/s2 in the negative -y direction? A. 67° from –x axis B. 23° from the –y axis C. 67° from the – y axis D. 23° from the –x axis E. 23° from the –x axis

35. Components What are the x and y components of
above the +x axis?
x = y = B. x = y = 1 4
x = 1 y = 1 D. x = y = 1 3

36. Components What are the x and y components of
above the -x axis?
x = y = B. x = − y =
x = − y = − D. x = y = − 1 2

37. Components What are the x and y components of
above the horizon?
x = 4.53m/s y = 2.11m/s
B. x = 0.91m/s y = 0.42m/s
x = 2.11m/s y = 4.53m/s
D. x = 3m/s y = 2m/s
E. x = 5m/s y = 25m/s

38. Components What are the x and y components of
to the right of the vertical?
A. x = 3.91m y = 5.8m B. x = -3.91m y = 5.8m
C. x = 5.8m y = 3.91m D. x = 3.91m y = -5.8m
E. x = -5.8m y = 3.91m

39. “change in…”
What is the direction of ∆𝑣 ? A. B. C. D.

40. “change in…”
What is the direction of 𝑣 𝑎𝑣𝑔 ? 𝑟 𝑜 = 𝑟 𝑓 = A. B. C. D. E. can’t be determined without time

41. Resultant Velocity
You are able to swim at 3m/s in a swimming pool (still water). If you jump in a river with a current of 4m/s and swim always pointing perpendicular to the current how fast will you be going according to someone standing on the bank?
1 m/s
3 m/s
5 m/s
7 m/s
None of these