Module 3: Motion in 2-3 Dimension

• Projectile


  • A body which is given an initial velocity and then allowed to move under the influence of gravity only
• Projectile motion


  A combination of horizontal motion with constant velocity and vertical motion with constant acceleration
• Properties of a projectile

  • Trajectory
  • Time of flight
  • Range
  • Height
• Trajectory


  The curved or parabolic path followed by the projectile
• Time of flight


  The total time at which the projectile stays in air
• Range


  The horizontal displacement covered by the projectile
• Height


  The highest vertical distance attained by a projectile
• Types of projectile motion

  • Half projectile motion
  • Full projectile motion
• Half projectile motion


  Horizontally launched projectile<|>Object thrown horizontally from a certain height
• Full projectile motion


  Projectile launched at angle θ from the horizontal<|>Object thrown at an angle above the horizontal
• Maximum range is attained when the projectile is launched at an angle of 45 degrees
• At maximum height, the vertical velocity of the projectile is zero
• Once a projectile is released, it will trace a curvilinear (nonlinear) path called trajectory