Vectors

Go to Google classroom and complete the assignment. You have 10 minutes.

Important terms Displacement Distance is its magnitude Has direction Velocity Speed is its magnitude

Vectors We use vectors to describe motion of an object that is traveling in both the x and y direction. Vector components Two or more vectors acting on the same point. Resultant One vector having the same effect as the combined components.

Visual of new terms Resultant Y Component X Component

Apples and Oranges When adding vectors they must represent the same motion velocity + velocity acceleration + acceleration displacement + displacement OK velocity + acceleration: NO!

Adding Vectors – tip to tail method Start with a bold dot Draw the longest vector first Draw the next vector head to tail Draw the resultant from the big dot to the last arrow head. Measure the resultant (graphically, measured, or calculated).

Vectors – same axis Vectors have magnitude and direction. They add or subtract depending on their directions. Parallel vectors are pretty simple: 50 m 100 m = + 50 m 50 m/s = 0 m/s + 50 m/s

What is the likely hood of being found? A camper in Yosemite park gets disoriented while hiking. They know they have traveled 50 kilometers from the park entrance. They are able to send a message to the park ranger to say they are lost and have traveled 50 kilometers. How easy will it be to find the hiker?

Adding vectors in different directions B C B A + B = C

What is the Pythagorean Theorem? c a b

Pythagorean Theorem a2 + b2 = c2 152 + 202 = c2 225 + 400 = c2 x 15 20

Practice –drawing vectors With a partner do the following: Use the tip to tail method to draw, calculate the resultant, and determine a direction for the following vectors: Diagram ‘A’ from your worksheet (vector sizes are 20 cm and 15cm) Diagram ‘C’ from your worksheet (vector sizes are 24 cm and 12 cm) Diagram ‘H’ from your worksheet (vector sizes are 36 cm and 18 cm. Diagram ‘I’ from your worksheet (vector sizes are 20 cm and 20 cm)