Applying Vectors Physics K. Allison

Engagement If a plane and the wind are blowing in the opposite direction, then the plane’s velocity will decrease. Today we will learn how we can represent events like this.

Objectives Draw vectors and apply them to moving objects Evaluate properties of component vectors Calculate the resultant given component vectors HONORS- calculate the horizontal and vertical components from the resultant

Vectors Questions What is a vector quantity? What is a vector? Facts Magnitude and direction ex. Velocity, Acceleration An arrow - Represents something with magnitude and direction - Line tells magnitude - Arrow tells direction

Drawing Vectors Draw a vector that represents a plane flying east at 110 km/h and another vector representing the wind blowing east at 35 km/h.

More about Vectors Topic Component vectors Facts Two or more vectors that can be used to find a resultant.

More about Vectors Topic Resultant Facts The combination of two or more component vectors

More About Vectors Questions What is the resolution? Facts The process of determining the components of a vector

Steps to Finding Resultant 1.Draw the vectors with their tails touching 2.Draw parallel projections of each vector to form a box (if applicable) 3. Draw the diagonal from the point where two vectors touch (if applicable)

Finding the Resultant A plane flies east at 90 km/h while the wind is blowing east at 30 km/h. How fast is the plane actually flying? This is an example of a plane experiencing a tailwind!

Finding the Resultant Suppose and airplane flies 100 km/h east and a wind blows 20 km/h west. How fast will the airplane travel? This is an example of a plan experiencing a headwind!

Headwind and Tailwind Questions What is a headwind? Facts The wind is blowing in the opposite direction of another object Coming head-on Slows motion Subtract

Headwind and Tailwind Questions What is a tailwind? Facts The wind is blowing in the same direction of another object Coming from behind (tail) Increases motion Add

Reach for the Stars! Questions Suppose that an airplane normally flying at 80 km/h north encounters wind at a right angle to its forward motion- a westward crosswind. Will the airplane fly faster or slower than 80 km/h? Facts The airplane will fly faster WHY?? Pythagorean Theorem a 2 +b 2 = c 2 c 2 is the resultant (in math the hypotenuse) which is longest side of a triangle Longest side equates with largest magnitude!

Finding the Resultant Suppose that an airplane normally flying at 80 km/h north encounters wind at a right angle to its forward motion- a westward crosswind. Will the airplane fly faster or slower than 80 km/h? How FAST?

HONORS- Reach for the Stars! Questions If given the resultant, how can one calculate the horizontal and vertical components? Facts Trig functions Sine Cosine tangent

Trig Review

(H)-Finding the Component Vectors A boat was trying to cross a river North but the river was flowing west resulting in the boat moving 6 m/s northwest at a 45° angle to the horizontal. What are the horizontal and vertical components?

Find the Resultant/Components Recap Topic 1. Headwind 2. Tailwind 3. Components at Right Angles Facts

HONORS- Find the Resultant/Components Recap Topic 1. Given resultant and find components Facts

Class work Practice with Teacher Complete #19, 20, 23 Honors Complete #19-24 Practice on Your Own Complete problems at lab stations in back to turn in.

Closing Put your name on the left side of blank paper Write two problems that require vector calculations: 1.Headwind/tailwind 2.Components at right angles to each other Let your partner solve the two problems The partner should put his/her name on the right side of paper