Whiteboard Protocol Bell Work Define the term acceleration
Whiteboard Protocol • Bell Work: Define the term acceleration • Objective: TLW how calculate magnitude and direction for • Classwork: Physics book page 64; Practice F • Exit Slip: What is the magnitude and direction of a plane that traveled 500 meters north and then and turn and traveled 400 meters west? https: //mrabynum. weebly. com 1/5/2022 1
VECTORS Level 1 Physics
Objectives and Essential Questions Objectives Distinguish between basic trigonometric functions (SOH CAH TOA) Essential Questions What is a vector quantity? What is a scalar quantity? Give examples of each. Distinguish between vector and scalar quantities Add vectors using graphical and analytical methods https: //mrabynum. weebly. com 1/5/2022 3
SCALAR A SCALAR quantity is any quantity in physics that has MAGNITUDE ONLY Number value with units https: //mrabynum. weebly. com Scalar Example Magnitude Speed 35 m/s Distance 25 meters Age 16 years 1/5/2022 4
VECTOR A VECTOR quantity is any quantity in physics that has BOTH MAGNITUDE and DIRECTION Vector Example Magnitude and Direction Velocity 35 m/s, North Acceleration 10 m/s 2, South Force 20 N, East An arrow above the symbol illustrates a vector quantity. It indicates MAGNITUDE and DIRECTION https: //mrabynum. weebly. com 1/5/2022 5
VECTOR APPLICATION ADDITION: When two (2) vectors point in the SAME direction, simply add them together. EXAMPLE: A man walks 46. 5 m east, then another 20 m east. Calculate his displacement relative to where he started. 46. 5 m, E + 66. 5 m, E https: //mrabynum. weebly. com 20 m, E MAGNITUDE relates to the size of the arrow and DIRECTION relates to the way the arrow is drawn 1/5/2022 6
VECTOR APPLICATION SUBTRACTION: When two (2) vectors point in the OPPOSITE direction, simply subtract them. EXAMPLE: A man walks 46. 5 m east, then another 20 m west. Calculate his displacement relative to where he started. 46. 5 m, E 20 m, W 26. 5 m, E https: //mrabynum. weebly. com 1/5/2022 7
Resultant Vectors When two (2) vectors are PERPENDICULAR to each other, you must use the PYTHAGOREAN THEOREM FINISH Example: A man travels 120 km east then 160 km north. Calculate his resultant displacement. the hypotenuse is called the RESULTANT 160 km, N VERTICAL COMPONENT S R T T A 120 km, E HORIZONTAL COMPONENT https: //mrabynum. weebly. com 1/5/2022 8
WHAT ABOUT DIRECTION? In the example, DISPLACEMENT asked for and since it is a VECTOR quantity, we need to report its direction. N W of N N of E E of N N of E N of W E W S of W NOTE: When drawing a right triangle that conveys some type of motion, you MUST draw your components HEAD TO TOE. S of E W of S E of S S https: //mrabynum. weebly. com 1/5/2022 9
NEED A VALUE – ANGLE! Just putting N of E is not good enough (how far north of east ? ). We need to find a numeric value for the direction. 200 km To find the value of the angle we use a Trig function called TANGENT. 160 km, N q N of E 120 km, E So the COMPLETE final answer is : 200 km, 53. 1 degrees North of East https: //mrabynum. weebly. com 1/5/2022 10
What are your missing components? Suppose a person walked 65 m, 25 degrees East of North. What were his horizontal and vertical components? The goal: ALWAYS MAKE A RIGHT TRIANGLE! H. C. = ? V. C = ? 25 65 m 1/5/2022 To solve for components, we often use the trig functions since and cosine. https: //mrabynum. weebly. com 11
Example A bear, searching for food wanders 35 meters east then 20 meters north. Frustrated, he wanders another 12 meters west then 6 meters south. Calculate the bear's displacement. - 12 m, W - = 6 m, S = 23 m, E 14 m, N 20 m, N 35 m, E 14 m, N R q 23 m, E The Final Answer: 26. 93 m, 31. 3 degrees NORTH or EAST 1/5/2022 https: //mrabynum. weebly. com 12
Example A boat moves with a velocity of 15 m/s, N in a river which flows with a velocity of 8. 0 m/s, west. Calculate the boat's resultant velocity with respect to due north. 8. 0 m/s, W 15 m/s, N Rv q The Final Answer : 17 m/s, @ 28. 1 degrees West of North 1/5/2022 https: //mrabynum. weebly. com 13
Example A plane moves with a velocity of 63. 5 m/s at 32 degrees South of East. Calculate the plane's horizontal and vertical velocity components. H. C. =? 32 V. C. = ? 63. 5 m/s 1/5/2022 https: //mrabynum. weebly. com 14
Example A storm system moves 5000 km due east, then shifts course at 40 degrees North of East for 1500 km. Calculate the storm's resultant displacement. 1500 km V. C. 40 5000 km, E H. C. 5000 km + 1149. 1 km = 6149. 1 km R q 964. 2 km 6149. 1 km 1/5/2022 The Final Answer: 6224. 2 km @ 8. 92 degrees, North of East https: //mrabynum. weebly. com 15
Understanding Vectors Classroom Activity Complete the classroom activity found of the following website: 1/5/2022 http: //207. 239. 98. 140/upp erschool/science/Classes /All. Physics/Home worksoln/Unit 3%20%20 Proj. Mot. Forces/Vecto rs. pdf https: //mrabynum. weebly. com 16
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