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# Chapter 3 Projectile motion - PowerPoint PPT Presentation

Chapter 3 Projectile motion. Two. Kinematics in Dimensions. Projectile Motion. Projectile motion is motion in two directions Motion in the x-direction is independent of the y-direction Motion in the y-direction is independent of the x-direction. V y. V x. The Full Parabola.

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## PowerPoint Slideshow about 'Chapter 3 Projectile motion' - vienna

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Presentation Transcript

Two

Kinematics in Dimensions

• Projectile motion is motion in two directions

• Motion in the x-direction is independent of the y-direction

• Motion in the y-direction is independent of the x-direction

Vy

Vx

The Full Parabola

• The key to the full parabola is symmetry.

• Try to identify some points of symmetry.

Throw

• The time of flight of a half parabolic path is equal to that of simply dropping the object from the same height.

Horizontal velocity (vx) has no affect on flight time because it is not affected by gravity.

Jill drops the yellow ball and throws the red ball horizontally. Which ball will hit the ground first?

X & Y are Independent horizontally. Which ball will hit the ground first?

Sample half parabola horizontally. Which ball will hit the ground first?

• A cannon nestled in the side of a cliff (d1y = 65m) fires a cannon ball at 26 . How long until the ball splashes into the sea?

Fire

Projectile Motion Type horizontally. Which ball will hit the ground first?

Not all object are launch horizontally

Objects can be launched at an angle

Solve each direction (x & y) separately

Symmetry can be used when the launching & landing places are the same height.

Vy

15.0m/s

12.5m/s

10.0m/s

7.50m/s

5.00m/s

2.50m/s

0.00m/s

Find the maximum height

What is true about the vertical velocity at the maximum height?

Vy

Vy=0m/s

15.0m/s

12.5m/s

10.0m/s

7.50m/s

5.00m/s

2.50m/s

0.00m/s

v iron.1y

v1

v1x

Initial Velocity Breakdown

• When an object is launched at some angle, it’s initial velocity (v1) can be broken down into two components.

• Horizontal Component (Vx)

• Vertical Component (Vy)

• What shape is formed?

• Consider also the launch angle (q).

Please Note: horizontal and vertical components are independent of one another. The only commonality is time.

Right Triangle

q

Important! iron.

v1

v1y

v1x

Initial Velocity Breakdown (Cont.)

• Consider the breakdown from the previous slide again.

• There are trigonometric relationships between the sides and angles of a right triangle.

q

v iron.1

v1y

v1x

Dart-X

Sample Velocity Breakdown

• A dart gun is fired at an angle of 30° with a muzzle velocity of 40m/s.

• Calculate the components of the velocity?

Horizontal Component (x)

Vertical Component (y)

q

Make sure your calculator is in Degree mode!

• Find the maximum height of the arrow.

• Find the horizontal distance the arrows travels.

• Find the hang time

• A cannon nestled in the side of a cliff (d1y = 20m) fires a cannonball at 130m/s at a 40° angle.

• What are the components of the initial velocity?

Horizontal Component

Vertical Component

Fire

• A cannon nestled in the side of a cliff (d1y = 20m) fires a cannonball at 130m/s at a 40° angle.

Complete the square

Fire