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PPT – Physics Chapter 3: Kinematics in 2-Dimensions PowerPoint presentation | free to download - id: 7e8801-NGY5N

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Physics Chapter 3 Kinematics in 2-Dimensions

- Christopher Chui

Kinematics in Two Dimensions

- A quantity having both magnitude and direction is

a vector - A quantity having magnitude only is a scalar
- Two vectors can be added graphically, giving a

resultant displacement - A vector can move without altering its direction
- Use tail-to-tip method to add vectors
- Subtraction of vectors is similar to adding

vectors - Vectors can be multiplied by a scalar
- Vectors can be resolved into its components

Components of Vectors

- Horizontal component vx v cos q
- Vertical component vy v sin q
- Resultant, v sqrt (vx2 vy2 )
- Direction, tan q vy / vx

Projectile Motion

- Analyze horizontal and vertical components

separately - Horizontal component does not change
- Vertical component changes continuously

Solving Problems Involving Projectiles

- X component velocity vx vx0 ax t
- X component distance x x0 vx0t ½ ax t2
- vx2 vx02 2 ax (x x0)
- y component velocity vy vy0 ay t
- y component distance x x0 vy0t ½ ay t2
- vy2 vy02 2 ay (x x0)
- Vertical projectile ax 0, ay -g -9.8 m/s2

Problem Solving Techniques for Projectile Motion

- Read carefully and draw a careful diagram
- Choose an origin and an xy coordinate system
- Analyze the horizontal motion and the vertical

motion separately - List the known and unknown quantities, choosing

ax 0 and ay -g or g depending on y up ve or

down ve - vx never changes, and vy 0 at highest point
- For final magnitude and direction, x and y

components must be combined as a vector - Firing projectile for maximum range must be at

45o - Projectile motion is parabolic