PROJECTILE%20MOTION

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PROJECTILE MOTION

• How does a cannonball fly?

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What goes up must go down or the effect of
gravity and air resistance ?

• Weve looked at LINEAR MOTION, or the motion of
  objects moving in a straight line.
• Now well look at NONLINEAR MOTION or motion
  along curved paths !

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When a ball is thrown upward

• There is a constant horizontal velocity
• and there is an accelerated vertical motion.
• These components act independently of each other.

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Projectile Motion
Projectile motion can be considered 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, vy vx.
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PROJECTILE MOTION

• A falling object with constant linear velocity
  and vertical acceleration

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PROJECTILE LAUNCHED AT AN ANGLE

• Without gravity, a projectile launched upward
  would follow a straight line.
• The vertical distance a projectile falls
  beneath any point on the dashed line
  is the same distance it would fall if
  dropped from rest!

IDEAL PATH
45 m
20 m
5 m
2 sec
1 sec
ACTUAL PATH
3 sec
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PROJECTILE MOTION

• If a projectile is launched a with enough
  altitude and velocity, it will continuously fall
  towards the earth and follow a path around the
  curvature of the Earth. This is the principle
  behind satellite motion

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VELOCITY COMPONENTS OF A PROJECTILE
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VELOCITY COMPONENTS OF A PROJECTILE

• An object is thrown in a long arc (trajectory).
• The horizontal vector does
  not change
• while the vertical vector changes
  due to
• gravity!

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EFFECT OF LAUNCH ANGLE ON PROJECTILE RANGE and
HEIGHT
Height dy max
Range dx