Projectile Motion

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Projectile Motion

• Projectile Motion

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Feeding the Monkey(Banana Gun)

• Where does the zookeeper aim if he wants to hit
  the monkey?
• ( He knows the monkey willlet go as soon as he
  shoots ! )

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Feeding the Monkey...

r r0

• If there were no gravity, simply aim

at the monkey
r v0t
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Feeding the Monkey...
r r0 - 1/2 g t2

• With gravity, still aim at the monkey!

r v0 t - 1/2 g t2
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Projectile An Object Moving Solely Under
Influence of Gravity
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Horizontally Launched Projectile
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Projectile Motion
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Projectile Velocities
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Net Force in Freefall
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Independence of x y Motions
For Vx 5 m/s
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Projectile Launched at Angle
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Projectile Launched at Angle - 2
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Monkey Zookeeper
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Monkey Zookeeper No Gravity
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Monkey Zookeeper - Fast
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Monkey Zookeeper - Slow
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Projectile Trajectories
Complementary angles have equal ranges
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Satellite Motion

• If superman threw a rock fast enough it would
  orbit the earth (if there were no air resistance

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Satellite Fast Projectile

• Since the earths surface curves away from the
  horizontal by 5 m for every 8000 m tangent to the
  surface
• V 8000 m/s 8 km/s

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Satellite Periods

• For a satellite close to the Earth, the period
  (the time for a complete orbit about the Earth)
  is about 90 minutes.
• For higher altitudes, the orbital speed is less,
  distance is more, and the period is longer.
• For example, communication satellites located in
  orbit 5.5 Earth radii above the surface of the
  Earth have a period of 24 hours.

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