Terminal%20Velocity

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Terminal Velocity

• Problems involving terminal velocity and calculus

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What is terminal velocity?

• Terminal velocity is the fastest speed an object
  can obtain while moving through a fluid that has
  a resistance dependent upon the velocity of the
  object
• Terminal velocity occurs when acceleration
  reaches zero.
• Fnet 0 therefore the forward force the
  resistance force
• When an object falls through the air it picks up
  speed and the air pushes back ever harder driving
  the acceleration down.
• Remember the acceleration decreases, but it is
  still accelerating, hence the velocity increases
  all the way to terminal velocity
• In general, air resistance depends on the shape
  of the falling object and the speed of the object
  (also the density of the fluid, but that is
  typically constant)

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