Projectile Motion EXAMPLE Projectile motion can be defined as that motion an object has when the acceleration is constant. EXAMPLE A ball is thrown up into the air. Parabolic path Press The acceleration due to gravity is ALWAYS the same vector, downwards.

Projectile Motion vv v vh Projectile motion can be modelled as two velocity vectors, a horizontal one that does not change and a vertical one that undergoes constant acceleration. vv v When an object is thrown/fired it has a velocity vector, v. This vector can be shown to be the sum of two vectors, vv & vh. vh

Projectile Motion

Projectile Motion

Projectile Motion Once a difficult problem for artillerymen. If the vertical and horizontal components are separated, the problem becomes simple.

Projectile Motion Horizontal – simple as a ball rolling across the table Use equations like d = v x t

Projectile Motion Vertical – simple as a free falling gravity problem Use acceleration equation A = V/T

Projectile Motion NOTE: Air and other resistance is being ignored for the time being.

Projectile Motion

Projectile Motion

Projectile Motion

Projectile Motion

Projectile Motion

Projectile Motion

Projectile Motion

Projectile Motion

Projectile Motion Trajectory Up to a 45 degree angle – greater distance at greater angle After 45 degree – greater height, less distance 45 degree gives the greatest distance Any two angles that add to 90 degrees will hit the same place

Projectile Motion Air Resistance

Projectile Motion Velocity