By the way, this is a fake

 

 

 

 

 

2. Projectile fired at an angle

 


 

 

Projectiles move
in a parabolic path

 

 

 

 

Baseball Throw
St. Mary's H.S. Physics

 

 

 

Vx and Vy Components
St. Mary's H.S. Physics


 

*** To understand this type of motion we must breakup the velocity into
horizontal and vertical parts (components)

 

 

Angle & Components
St. Mary's H.S. Physics

 

 

 

 

Finding Horizontal & Vertical Components (parts)

 

 

 

V - velocity of projectile fired

Vix - initial V in x direction

Viy - initial V in y direction

 

 

Use trig. to find Vix and Viy


 

 

Since…

COSӨ = A/H = Vix/V

 

CROSS MULTIPLY:

 

 

 

Initial Horizontal
Component of Velocity

 

Vix = VcosӨ
(on reference table)

 

Since…

sinӨ = Opp./Hyp. = Viy/V

 

 

CROSS MULTIPLY:

 

 

Initial Vertical
component of velocity

 

 

 

Viy = VsinӨ
(on reference table)

 

 

 

 

 

 

 

 

 

 

 

 

A bouncing ball captured with a stroboscopic flash at 25 images per second.

MichaelMaggs Edit by Richard Bartz

 

 

 

Ex) A baseball is thrown upward at an angle of 30° and a velocity of 6 m/s.
Find the baseball's initial horizontal & vertical velocity.

 

 

Vertical Component

Viy = VsinӨ

 

 

 

 

=(6 m/s)sin30°

 

 

 

 

Viy = 3 m/s up

 

 

 

 

Horizontal Component

Vix = VcosӨ

 

 

 

 

 = (6 m/s)cos30°

Vix = 5.2 m/s across

 


 

 

 

3. Other important facts

 

 

dx = Vxt

(memorize)

 

 

ay =-9.8 m/s2
ascending (down -)

ay =+9.8 m/s2

descending
(down +)

Vy at peak = 0


 

 

Angles and Ranges

 

PelletierPhysics

 

 

Projectile Range
Don Ion

 

 

 

 

 

 

 

 

Minimum Range

 

0°, 90°

 

 

 

 

 

 

 

45°

Maximum Range

 

 

 

 

 

 

Angle with Longest time
in Air?

 

 

 

 

 

 

90 degrees

 

 

 

Angle & Components
St. Mary's H.S. Physics

 

 

Ex) Which angle of projection causes a projectile to stay in the air longer? 

 50 or 70 degrees?

 

70 degrees,

(closest to 90,
longer time in air)

 

 

 



 

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