projectile motion - ipc

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Transcript projectile motion - ipc

Projectile Motion
Projectile motion can be defined as that motion an object
has when the acceleration is constant.
A ball is thrown up into the air.
Parabolic
path
The acceleration due to
gravity is ALWAYS the
same vector, downwards.
Projectile Motion
Projectile motion can be modelled as two velocity vectors, a
horizontal one that does not change and a vertical one that
undergoes constant acceleration.
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.
vv
v
vh
Projectile Motion
Without Gravity
Projectile Motion
With Gravity
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