Pleaseturn Staple your August Bell Please in all
Pleaseturn Staple your August Bell Please in all bell 19 work done in Works August. and leave. Vector on your desk #. Bell Work: Introduction Bell Work: Vector Intro 1. What does velocity have that speed does not? 2. What does displacement have that distance does not? 3. What is a magnitude? 4. What is a direction? 5. Name 3 scalars that are not mentioned here.
Vectors vs. Scalars Ø Scalar • Magnitude (number and unit) only. • Ex: time, distance, speed
Vectors vs. Scalars Ø Vector • Has magnitude and direction. • Ex: displacement, velocity, force • Shown with arrows. tail head • Length determines magnitude. • Direction is the way it points.
Vectors vs. Scalars Ø Adding vectors • Always connect vector arrows head to tail. • The answer is called the resultant. • Resultant is drawn from the start point to the end point. • Draw resultant dotted or a different color.
θ = theta = angle
Two methods for Adding Vectors 1. Graphically • Draw out all vectors TO SCALE connecting head to tail. • Draw the resultant vector from where you started to where you ended. • Dot or color your resultant. • Label R and θ. Theta always goes at the beginning. • Take necessary measurements using a ruler and protractor.
Example: Solve Graphically A kid walks 10 m East and then 3 m North. What is his resultant displacement? 1 m = 1 cm R θ 3 m 10 m
Two methods for Adding Vectors 2. Mathematically • Sketch the vectors connecting head to tail. • Draw the resultant vector from where you started to where you ended. • Dot or color your resultant. • Use Pythagorean theorem and SOH CAH TOA to calculate answer.
Example: Solve Mathematically R θ 10 m 3 m
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