Projectile motion

• Projectile

  An object upon which the only force acting is gravity
• Projectile motion

  The motion of an object thrown or projected into the air, subject only to the acceleration of gravity

  
• Projectile motion

  • The path of a projectile is called its trajectory
  • The trajectory of a projectile in free fall is a parabola
• Projectile motion

  • It is a combination of horizontal motion and vertical motion
  • The horizontal motion of a projectile is constant because no gravitational force acts horizontally
  • The vertical motion of a projectile is accelerated due to gravity
• An object projected horizontally will reach the ground in the same time as an object dropped vertically

  
• No matter how large the horizontal velocity is, the downward pull of gravity is always the same
• Horizontally launched projectile

  • Horizontal velocity is constant, vertical velocity is changing due to gravitational acceleration

  
• Vertically launched projectile

  • The horizontal velocity component remains the same size throughout the entire motion
• Maximum range is achieved if the projectile is fired at an angle of 45 degrees with respect to the horizontal
• Types of projectiles

  • Type 1
  • Type 2
  • Type 3
• A projectile is an object upon which the only force acting is gravity
• The horizontal range of a projectile is maximum when the angle of projection is 45 degrees

  
• Examples of projectile motion

  • A bullet being fired from a gun
  • A jet lifting off a runway
  • A space shuttle orbiting Earth
  • Dropping an aluminum can into the recycling bin
• Path of a projectile

  A parabola
• If a bullet is fired into the air at an angle of 30 degrees to the horizontal, and at the same time and from the same height a bullet is dropped, then neglecting air resistance, both bullets will spend the same amount of time in the air, hitting the ground at the same time
• Projectile motion applies to sports

  
• Eq. A


  V= d/t
• Eq.B 


  Vave= vf+vi/2
• Eq. D


  d= vt

  D= (vf+vi/2) time
• Eq. E


  D= vit + at²/2

  or

  D=vit + ½ at²
• Eq. F


  Vf²= Vi2 +2ad
• Eq. C


  A= vf-vi/time