How many things would you have
to get right to make this work?

Amazing_Waterslide_Jump_.mov

 

 

 

 

 

 

 

 

 

By the way, this is a fake

 

 

 

 

2. Projectile fired at an angle (not 0 or 90)

 

 

 

 


Projectile Path is Parabolic

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

Victoria Lollo

 

 

 

Angle and Intitial Velocities

- Projectile fired at 5 m/s:

if Ө = 0

  Vix = 5 m/s,  Viy = 0

if Ө = 90

    then .....

 

Vix= 0 m/s and Viy = 5 m/s

 

If angle not 0 or 90 the  initial velocity is part vertical and part horizontal

[ Flash ]
St. Mary's H.S. Physics

 

 

 

 

[ Flash ]
St. Mary's H.S. Physics

 

 

 

 

 

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

 

 

 

 

 

Finding Initial Horizontal & Vertical Components (parts)


[ Flash ]

 

 

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

[ Flash ]

 

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)

 

 

 

 

 

 

 

 

During the times the ball is in the air,
how many times is the vertical velocity zero?

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

MichaelMaggs Edit by Richard Bartz

 

 

 

 

2 times / At the Peak

 

 

Ex) A baseball is thrown upward at an angle of 30.° and a velocity of 6.0 m/s.

Find the initial horizontal & vertical components of the baseball's velocity.

 

 

 

 

Vertical Component

Viy = VsinӨ

 

 

 

 

=(6.0 m/s)sin30.°

 

 

 

 

Viy = 3.0 m/s up

 

 

 

 

Horizontal Component

Vix = VcosӨ

 

 

 

 

 = (6.0 m/s)cos30.°

Vix = 5.2 m/s across

 


 

 

3. Other Important Facts

 

 

dx = Vxt

(memorize)

 

 


ay = -9.8 m/s
2
Ascending (down -)

ay =+9.8 m/s2

Descending
(down +)

Vy at Peak = 0



 

 

Angles and Ranges

What angle produces the greatest range?

 

PelletierPhysics

 

 

 

45 degrees

 

Projectile Range

 

[ HTML5 ]

Don Ion

 

 

 

Name another angle
that will give the same range (dx)

 

55 degrees

 

 

 

 

35 degrees

 

 

 

 

65 degrees

 

 

 

 

25 degrees

 

 

55 degrees

 

 

 

35 degrees

 

 

 

 

20 degrees

 

 

 

 

70 degrees

 

 

 

 

Minimum Range

 

 

 

 

 

 

0°, 90°

 

 

 

 

 

 

Maximum Range

 

 

 

 

 

45°

 

 

 

 

 

Angle with Longest
Time in Air?

 

 

 

 

 

 

90 degrees

 

 

 

Angle & Components

[ HTML5 ]
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)

 

 

Ranking Task

1.   A rock is thrown at various angles but with the same initial velocity.

2°    70°    20°   5°   60°

 

Rank the angles above from smallest horizontal displacement (dx) to the greatest

 

 

 

 

 

 

 

 

 

Projectile at an Angle
- Word Problems


[AP]

 

 

 

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