Projectile Motion

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Projectile Motion

• Made up of horizontal and vertical components.
• Horizontal- like a horizontal ball rolling
• Vertical- like free fall.

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Important

• The horizontal component is completely
  independent of the vertical component

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Watch the motion

• Both circles hit at the same time.

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Horizontal and Vertical Components

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Gravity

• The acceleration due to gravity is constant
  regardless of the horizontal velocity.
• Therefore both balls will hit the ground at the
  same time.

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Upwardly Launched Projectiles

• Shot upwards a cannon ball follows a curved path.
• Imagine the path if gravity didnt exist.
• It falls the same distance from this line as if
  dropped from rest.

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D1/2gt2

• Beneath any point on the dashed line the distance
  is the same as if it were dropped

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Where is the Projectile

• If you use the formula d1/2gt2 than you plug
  10m/s2 into the formula you get d5t2
• It is that far below the imaginary line.

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Velocity of a Projectile

• The horizontal velocity stays constant
• The vertical component changes due to the
  acceleration of gravity

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Increasing the Launching angle

• The initial vertical velocity vector is greater
  than the horizontal velocity vector. The path is
  higher but the vertical distance is less.

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Air Resistance

• In the presence of air resistance the path of a
  high speed projectile would fall short of the
  idealized parabola.

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• The time it takes to go up is the same as it
  takes to come down.The acceleration is constant
  10 m/s2
• Velocity 0 m/s at the top

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Satellites

• A satellite is a projectile traveling fast enough
  to fall around the Earth Rather than into it.
• Most be above the atmosphere

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Satellites

• Must be above the atmosphere to avoid atmospheric
  friction