Post on 30-Dec-2015
description
Applying Vectors
PhysicsK. 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
QuestionsWhat is a vector
quantity?
What is a vector?
FactsMagnitude and directionex. 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
TopicComponent vectors
FactsTwo or more vectors that
can be used to find a resultant.
More about Vectors
TopicResultant
FactsThe combination of two
or more component vectors
More About Vectors
QuestionsWhat is the
resolution?
FactsThe process of
determining the components of a vector
Steps to Finding Resultant1. 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 ResultantA 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
QuestionsWhat is a headwind?
FactsThe wind is blowing in
the opposite direction of another object
• Coming head-on• Slows motion• Subtract
Headwind and Tailwind
QuestionsWhat is a tailwind?
FactsThe wind is blowing in
the same direction of another object
• Coming from behind (tail)
• Increases motion• Add
Reach for the Stars!
QuestionsSuppose 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?
FactsThe airplane will fly faster
WHY??Pythagorean Theorem
a2 +b2 = c2
c2 is the resultant (in math the hypotenuse) which is longest
side of a triangleLongest side equates with
largest magnitude!
Finding the ResultantSuppose 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!
QuestionsIf given the
resultant, how can one calculate the horizontal and vertical components?
FactsTrig 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
Topic1. Headwind
2. Tailwind
3. Components at Right Angles
Facts
HONORS- Find the Resultant/Components Recap
Topic1. Given resultant
and find components
Facts
Class work
Practice with TeacherComplete #19, 20,
23
HonorsComplete #19-24
Practice on Your Own Complete problems at
lab stations in back to turn in.
ClosingPut your name on the left side of blank paperWrite two problems that require vector
calculations:1. Headwind/tailwind2. Components at right angles to each other
Let your partner solve the two problemsThe partner should put his/her name on the right side of paper