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Chapter 3 – Vectors & Projectile Motion

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Presentation on theme: "Chapter 3 – Vectors & Projectile Motion"— Presentation transcript:

1 Chapter 3 – Vectors & Projectile Motion

2 Vocab Scalar Vector Resultant Component Resolve

3 Combining Vectors Arrange vectors head to tail; head to tail
Result is from first tail to last head Length is found by Pythagorean theorem a2 + b2 = c2

4 Practice combining vectors
5.0 m/s north with 12 m/s west 6.0 m/s south with 8.0 m/s west 3.0 m/s northwest with 4.0 m/s northeast 12 m/s southeast with 9.0 m/s northwest

5 Resolving Vectors Any vector can be resolved into 2 perpendicular vectors (components) Use angle and trigonometry functions to find components (5.0N)sin(30) 5.0 N 30’ (5.0N)cos(30)

6 Practice resolving vectors
A 25 Newton force is dragging a wagon at 25° from the horizontal A 16 Newton wind is blowing the sailboat at 35° west of north You pull up on the desk with a force of 16 Newtons at an angle of 10° above horizontal

7 Component vector independence
Perpendicular vectors are completely independent of each other This is why we resolve vectors, we can treat each piece individually

8 Complex combinations When vectors aren’t perpendicular
Resolve all vectors Combine all vertical parts Combine all horizontal parts Combine vertical and horizontal results Works for more than 2 vectors

9 Practice combining complex vectors
A 25 N 20.° north of west with 14 N 15° south of west A 12 N 25.° above the horizontal with 18 N 55° above the horizontal A 30. N 30.° west of north with 16 N 15° south of west with 41 N 5° east of south.

10 Upwardly Launched Projectiles
Because gravity acts on projectiles, the projectile follows a curved path and hits the ground.

11 Upwardly Launched Projectiles
If no gravity acted on the object, the object would follow a straight line path. It falls the same vertical distance that it would if it were dropped from rest. 1s? 3s?

12 What angle of launch is best?
Best angle – Compliment angles- Real world best –

13 Frames of Reference The same motion appears different from different frames of reference Car examples – orbiting examples Video of plane, snowmobile Pirate problem

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