How Far Should Goods Be Dropped from a Plane to Hit a Mountain Ridge?

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SUMMARY

The discussion focuses on calculating the optimal horizontal distance for dropping goods from a plane to hit a mountain ridge. Given a height of 203 meters and a plane speed of 65.278 m/s, participants emphasize the need to calculate the horizontal distance using the time it takes for the goods to fall, assuming no air resistance. Additionally, when considering a drop zone 441 meters in advance, the vertical velocity required for the supplies to reach the target is also discussed, highlighting the importance of understanding projectile motion principles.

PREREQUISITES
  • Understanding of projectile motion principles
  • Basic knowledge of kinematics equations
  • Familiarity with the concept of gravitational acceleration (g)
  • Ability to perform calculations involving horizontal and vertical components of motion
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  • Research the kinematic equations for projectile motion
  • Learn how to calculate time of flight for free-falling objects
  • Explore the effects of air resistance on projectile motion
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Aerospace engineers, logistics coordinators, and anyone involved in aerial delivery systems or supply drop operations will benefit from this discussion.

schrock
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I am trying to drop goods to a ridge of a mountain. The height from the ground to the plane is 203 m. The distance from the plane to the ridge is X. If plane is traveling at 65.278 m/s, how far in advance (horizontal distance) must the goods be dropped?

-Should I calculate Vxo since Vyo would be 0? Then figure out what the horizontal distance would be?

Using same info, what if now 441 m in advance of drop zone, what vertical velocity should supplies be given to hit drop zone?
 
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The technique is generally to calculate the time the object will take to fall the appropriate distance (assuming no air resistance and falling at 'g')
You then use this time together with the constant horizontal speed to calculate the horizontal distance
 

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