What does it mean for there to be a tie? Do Now: Shane and Silas are playing tug of war! Silas pulls with a force of 10 Newtons to the left and Shane pulls with a force of 10 Newtons to the right. What is the result? What does it mean for there to be a tie? Michelle walks 10 meters South down the hall, then 10 meters East. How far from her starting point is she? Draw a diagram!

Aim: How do we describe vectors? HW: Read UPCO pg. 7-14 Q: 1-20

Tug of War Normal game What if it was a tie? “Equal” What if we pulled at different angles? Equilibrium- An object is at rest An objects is in constant motion with speed and direction. Let student do Tug of war. Let them equalize out. Write force equations describing the sum of forces. Let 2 students stand at a 90 degree angle and pull with you at center of rope in wheel chair.

How do we describe vectors? Vectors have magnitude and direction. Examples: Displacement, velocity, force, acceleration & momentum. Scalars have only magnitude Vectors are drawn as arrows ALWAYS! We can use vectors to calculate the resultant or sum of vectors. What is magnitude and direction of a drawn vector? Draw a vector with magnitude and angle from origin.

1-D Vectors: Adding and Subtracting Vectors in 1-D: A paper plane flies 5m/s E with a 5m/s E tailwind. What is the resultant velocity? 1. -----> + -----> = ----------> 5m/s E + 5m/s E = 10 m/s E *plane’s velocity + tailwind = resultant velocity The plane flies 5m/s E into a 3m/s W tailwind -----> + <--- = --> 5m/s E + 3m/s W = 2m/s E Always draw head to tail!!!

2D Vector Diagrams A person walks 4 meters East, then 3 meters North. Find the magnitude and direction or the resultant displacement. Ways to Solve Graphically Mathmatically

Equilibrium Force Only for forces! Equal and opposite the resultant! Two ropes are tied to a fence at the same point. Taylor pulls East with a force and Jeff pulls 30 degrees South East with a force. 1. Draw the resultant 2. Draw the equilibrium Force Reflection Notes: First day of vectors we got through one scaled drawing, second day covered Do Now and then reviewed UPCO book (Specifically, Equilibrium Force, adding components in y & x direction). Quickly reviewed Equilibrium Force.

How to Solve Graphically Vectors in 2-D: Define your scale Draw your vectors using the tip-to-tail method. Draw the resultant vector. Measure the vector and the angle. Describe the direction in terms of degrees and direction (N, N of E, W, W of S, etc)

Vector Activity Use a protractor to calculate the resultant vector in each of the following problems: A person walks 5.0 meters east and 12.0 meters at 60 degrees north of east. Find the magnitude and direction of the resultant displacement. (15m@43 deg.) A boat moves with a velocity of 2m/s North when it encounters a gust of wind with a velocity of 2 m/s west. What is the resultant velocity of the boat? (Include the angle) How can 5+12 = anything but 17?

Challenge Question You are running to physics class because you just can’t wait to get there and learn more about vectors! To get to class, you run 2m North, 7m West, and 1m South. What was the total distance you travelled? 2) What was your displacement from start to finish? Include the angle and direction in your answer. Distance is a scalar, Displacement is a vector Solve

Measuring Angles Draw an angle that is 20o South of West Draw an angle that is 70o West of South Draw an angle that is 200o North of East Do you notice anything??? All these directions are the same!

Summary You are given a treasure map. You REALLY want that treasure! You are given a series of directions to follow including the number of meters to follow before each turn. How will you be able to figure out the location of the treasure with respect to your starting position? How did we do this in class?