Range, Height and Time

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Range, Height and Time
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Projectile Path

• All projectiles follow the same shape path.
• This path is a parabola.

• Acceleration is constant.
• Horizontal velocity is also constant.
• Velocity and position change.

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Parameterized Curve

• The two equations of motion can be combined to
  give an equation for the trajectory.
• Weve set the origin to x0 0, y0 0.

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Height

• The maximum height occurs when vy 0.
• This is identical to 1-dimensional motion.
• From the height can the initial velocity be
  estimated?

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Range

• The range of a projectile is the horizontal
  distance.
• The simplest range to find is for a projectile
  returning to its initial height.
• This is linked to the angle of the initial
  velocity.

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Time

• The time in flight can be determined by height
  alone.

• The hang time is just this time in flight.
• A 1 m jump will be in the air for about 0.9 s.
• The range doesnt matter.

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Different Heights

• Not all motion starts and stops at the same
  height.
• The difference in height can be found by the full
  set of equations.
• Let y be some non-zero value.

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