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Do Now: 1. Remember Mailman Rich? He walked 22 km North, then 47 km South of East at 60o. EXPLAIN how we calculated the resultant mathematically? 60o.

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Presentation on theme: "Do Now: 1. Remember Mailman Rich? He walked 22 km North, then 47 km South of East at 60o. EXPLAIN how we calculated the resultant mathematically? 60o."— Presentation transcript:

1 Do Now: 1. Remember Mailman Rich? He walked 22 km North, then 47 km South of East at 60o. EXPLAIN how we calculated the resultant mathematically? 60o 22 km 47 km Resultant

2 Aim: How do we solve 2D vector Problems?
HW: Vector component WS

3 Remember! Resultant = Sum of two or more vectors! For Mailman Rich… D1 + D2 = Resultant + =

4 Solving 2D Vector Questions
If vectors form a right triangle: Use Pythagorean Theorem and SOHCAHTOA If Vectors given in multiple directions (angled) or more than two are given: Sketch a diagram Separate vectors Break each vector into x & y components Add similar components Using combined x and y components to make a new right triangle and solve for resultant using Pythagorean theorem and SOHCAHTOA.

5 White Board Activity Solve the following Vectors for their x & y components.

6 Practice Joe pulls a box North East at 45o with a force of 10 N and Mary pushes the box Southwest (200o) with a force of 15 Newtons. What is the Net force on the box?

7 Practice Joe pulls a box North East at 45o with a force of 10 N and Mary pushes the box Southwest (200o) with a force of 15 Newtons. What is the Net force on the box? 10N 200o Southwest = 20o Southwest y2 45o x y x2 15N

8 Summary 1. How do we solve for the resultant if there are more than 2 vectors or vectors in more than one direction?


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