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Projectile Motion. Projectile Motion. Feeding the Monkey (Banana Gun). Where does the zookeeper aim if he wants to hit the monkey? ( He knows the monkey will let go as soon as he shoots ! ). Feeding the Monkey. r = r 0. If there were no gravity, simply aim . at the monkey. r = v 0 t.

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projectile motion

Projectile Motion

Projectile Motion

feeding the monkey banana gun
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 ! )
feeding the monkey
Feeding the Monkey...

r = r0

  • If there were no gravity, simply aim

at the monkey

r =v0t

feeding the monkey4

Banana hits

monkey!

Feeding the Monkey...

r= r0 - 1/2 g t2

  • With gravity, still aim at the monkey!

r= v0t - 1/2 g t2

projectile trajectories
Projectile Trajectories

Complementary angles have equal ranges

satellite motion
Satellite Motion
  • If superman threw a rock fast enough … it would orbit the earth (if there were no air resistance
satellite fast projectile
Satellite = Fast Projectile
  • Since the earth’s surface curves away from the horizontal by 5 m for every 8000 m tangent to the surface
  • V = 8000 m/s = 8 km/s
satellite periods
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.