Projectiles and Projectile Motion. What is a projectile? A projectile is any object which once...

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Projectiles and Projectile Motion

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Page 1: Projectiles and Projectile Motion. What is a projectile? A projectile is any object which once projected continues in motion by its own inertia and is.

Projectiles and Projectile Motion

Page 2: Projectiles and Projectile Motion. What is a projectile? A projectile is any object which once projected continues in motion by its own inertia and is.

What is a projectile?

A projectile is any object which once projected continues in motion by its own inertia and is influenced only by the downward force of gravity.

Page 3: Projectiles and Projectile Motion. What is a projectile? A projectile is any object which once projected continues in motion by its own inertia and is.

Examples

Page 4: Projectiles and Projectile Motion. What is a projectile? A projectile is any object which once projected continues in motion by its own inertia and is.

Projectiles Continued

Gravity influences a projectile’s vertical motion and causes the characteristic parabolic trajectory.

Page 5: Projectiles and Projectile Motion. What is a projectile? A projectile is any object which once projected continues in motion by its own inertia and is.

See these paths!!

Page 6: Projectiles and Projectile Motion. What is a projectile? A projectile is any object which once projected continues in motion by its own inertia and is.

Projectile Characteristics

There can be two components of the projectile's motion - horizontal and vertical.

Page 7: Projectiles and Projectile Motion. What is a projectile? A projectile is any object which once projected continues in motion by its own inertia and is.

"perpendicular components of motion are independent of each other" These two components of motion can (and must) be discussed separately.

Page 8: Projectiles and Projectile Motion. What is a projectile? A projectile is any object which once projected continues in motion by its own inertia and is.

The force of gravity does not effect the horizontal component of motion; a projectile maintains a constant horizontal velocity since there are no horizontal forces acting upon it.

Page 9: Projectiles and Projectile Motion. What is a projectile? A projectile is any object which once projected continues in motion by its own inertia and is.

Projectiles Described Mathematically

horizontal motion dx = vix t

vertical motion dy = viy t + 1\2gt2

Page 10: Projectiles and Projectile Motion. What is a projectile? A projectile is any object which once projected continues in motion by its own inertia and is.

Ex.1

A bullet is fired horizontally at 200.0 m/s from a height of 10.0 m. Calculate the following:

A) time of flightB) horizontal displacementC) the final velocity of the bullet ( recall

that velocity is a vector quantity and will need a direction)

Page 11: Projectiles and Projectile Motion. What is a projectile? A projectile is any object which once projected continues in motion by its own inertia and is.
Page 12: Projectiles and Projectile Motion. What is a projectile? A projectile is any object which once projected continues in motion by its own inertia and is.
Page 13: Projectiles and Projectile Motion. What is a projectile? A projectile is any object which once projected continues in motion by its own inertia and is.
Page 14: Projectiles and Projectile Motion. What is a projectile? A projectile is any object which once projected continues in motion by its own inertia and is.

Ex.2

A soccer ball is kicked horizontally off a 22.0-meter high hill and lands 35.0 meters from the edge of the hill. Determine the initial horizontal velocity of the soccer ball

Page 15: Projectiles and Projectile Motion. What is a projectile? A projectile is any object which once projected continues in motion by its own inertia and is.

Solution

Horizontal Information:dx = 35.0m, a = 0m/s2, vx = ?

Vertical Informationdy = -22.0m, viy = 0m/s, a = -9.81m/s2

Page 16: Projectiles and Projectile Motion. What is a projectile? A projectile is any object which once projected continues in motion by its own inertia and is.

Solution Continued

Use dy = viyt + ½ at2, to solve for time– Should get 2.12s

Then use dx = vx t, and solve for vx.– Should get 16.5m/s