1-D Vectors 1-D Vectors

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

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.

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 + =

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 + =

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

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 + =

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

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

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

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 - =

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

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 - =

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

Trig Review

Trig Review Calculate the value of the variable: (make sure your calculator is in DEGREE mode) A.) 13.9 B.) 12.95 C.) 12 D.) 1.13 E.) None of these

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

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

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

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

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

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

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

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

Lesson 2 – 2-D Vectors

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.

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.

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

Head to Tail What does the Resultant look like for adding these two vectors? W = 5m/s @ 150° + T = 6 m/s @ 240° A. B. C. D.

Head to Tail What does the Resultant look like for adding these two vectors? P = 12m @ 340° + N = 18 m @ 20° A. B. C. D.

Head to Tail What does the Resultant look like for subtracting these two vectors? P = 12m @ 340° ̶ N = 18 m @ 20° A. B. C. D.

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

Resultant What is the resultant of 3m/s in the negative -x direction, and 4m/s in the positive +y direction? A. 5m/s @ 53° …….. B. 5m/s @ 53° ……………………. C. 5m/s @ 37° …………………………………….. D. 1m/s @ 37° ……….. E. 7m/s @ 53°……………………….

Resultant What is the resultant of 12m/s2 in the negative -x direction, and 5m/s2 in the negative -y direction? A. 13m/s @ 67° from –x axis B. 13m/s @ 23° from the –y axis C. 13m/s @ 67° from the – y axis D. -17m/s @ 23° from the –x axis E. 13m/s @ 23° from the –x axis

Components What are the x and y components of 1 @30° above the +x axis? x = 1 2 y = 3 2 B. x = 3 4 y = 1 4 x = 1 y = 1 D. x = 2 3 y = 1 3

Components What are the x and y components of 1 @45° above the -x axis? x = 1 2 y = 1 2 B. x = − 1 2 y = 1 2 x = − 1 2 y = − 1 2 D. x = 1 2 y = − 1 2

Components What are the x and y components of 5m/s @25° 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

Components What are the x and y components of 7m @34° 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

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

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

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