Calculating Drop Timing for Airdrop Supplies in Wilderness

  • Thread starter physicsquest
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In summary, the hiker in the wilderness needs the rescue plane to airdrop survival supplies at least 28 seconds before reaching him in order for the goods to land directly at his feet. This takes into account the plane's horizontal speed of 80 km/h and the goods being thrown down at 2.5 m/s in the vertical direction. Air resistance is ignored in this scenario.
  • #1
physicsquest
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Homework Statement


A hiker has managed to strand himself in the wilderness. A rescue plane traveling at 80.0 km/h horizontally and at an altitude of 70.0 m airdrops some survival supplies for his use. If the goods are thrown down at 2.50 m/s in the vertical direction with respect to the plane, how far in advance of the person must the drop occur so that the gear lands directly at his feet? Ignore air resistance.


Homework Equations


80 km/h= 22.2 m/s
xf= xi + vit + (1/2)at^2


The Attempt at a Solution

 
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  • #2
if it goes down with constant speed 2.5m/s it is:

70/2.5 = 28 s

28 * 22.2 = 621.6
 
  • #3
^ uh no, there's gravity.

The object is moving forward at 22m/s forward and 2.5m/s downward initially. So just find out how long it will take to reach the ground when dropped from 70m. Then you can find the distance it will travel in the x-dir.
 

What should a hiker do if they encounter a wild animal?

If a hiker encounters a wild animal while in the wilderness, the first thing they should do is remain calm. Avoid making sudden movements or loud noises that may startle the animal. Slowly back away while facing the animal and try to create distance between yourself and the animal. If the animal continues to approach, use any defensive tools or techniques you have been trained in, such as bear spray or making yourself look larger.

What should a hiker do if they get lost in the wilderness?

If a hiker gets lost in the wilderness, the most important thing to do is stay calm. Take a moment to assess your surroundings and try to retrace your steps or use a map to determine your location. If you are unable to find your way back, stay in one place and wait for help. Make yourself visible to search and rescue teams by using a whistle, building a fire, or creating a makeshift shelter.

What essential items should a hiker bring on a wilderness hike?

Some essential items to bring on a wilderness hike include a map and compass, plenty of water, food, a first aid kit, a flashlight or headlamp, a fire starter, and appropriate clothing and footwear. It is also important to bring a fully charged cell phone and a backup power source, as well as any necessary permits or licenses for the area you will be hiking in.

How can a hiker prevent injuries while hiking in the wilderness?

To prevent injuries while hiking in the wilderness, it is important to be prepared and aware of your surroundings. This includes wearing appropriate clothing and footwear, staying hydrated, and taking breaks as needed. It is also important to practice proper hiking techniques, such as using trekking poles and watching your footing on uneven or rocky terrain. Additionally, knowing how to properly use any equipment or tools you bring with you can also help prevent injuries.

What should a hiker do in case of a medical emergency in the wilderness?

In case of a medical emergency in the wilderness, the first step is to assess the situation and determine the best course of action. If the injury or illness is severe, call for emergency assistance immediately. If the situation is not life-threatening, you can use your first aid kit to administer basic first aid and then seek medical attention as soon as possible. It is important to have a plan in place and know how to use your first aid kit before heading out on a wilderness hike.

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