Calculating Package Delivery by Air: Time, Distance, and Velocity

  • Thread starter markiii
  • Start date
  • Tags
    Air
In summary, the conversation discusses the delivery of a food package to a group of stranded people on a small island via a relief airplane. Due to the small size of the island, the package must be dropped from the airplane. The airplane flies at a constant speed of 200 mph and an altitude of 850 m. The conversation then discusses the time it takes for the package to reach sea level after being released, the horizontal distance the package should be released from the island to land on it, and the speed of the package when it hits the ground. The conversation also mentions the importance of considering the vertical motion and the initial zero vertical speed of the package.
  • #1
markiii
3
0
A relief airplane is delivering a food package to a group of people stranded on a very small island. The island is too small for the plane to land on, and the only way to deliver the package is by dropping it. The airplane flies horizontally with constant speed of 200 mph at an altitude of 850 m . The positive x and y directions are defined in the figure. For all parts, assume that the "island" refers to the point at a distance D from the point at which the package is released, as shown in the figure. Ignore the height of this point above sea level. Assume that the acceleration due to gravity is g = 9.80 .m/s^2
After a package is ejected from the plane, how long will it take for it to reach sea level from the time it is ejected? Assume that the package, like the plane, has an initial velocity of 200 in the horizontal direction.
If the package is to land right on the island, at what horizontal distance D from the plane to the island should the package be released?
What is the speed v_f of the package when it hits the ground
 
Physics news on Phys.org
  • #2
i need help bad I'm so confused
 
  • #3
do the vertical motion first, because the altitude sets the time of fall.

you DO know how far it falls, right?
do you know how to write that vertical location as a function of time?
You realize that the vertical speed starts out as zero?
 

Related to Calculating Package Delivery by Air: Time, Distance, and Velocity

1. How does delivering a package by air work?

Delivering a package by air involves several steps. First, the package is collected from the sender and taken to an airport. Then, it is loaded onto a cargo plane and flown to the destination airport. Once it arrives, it is unloaded and taken to the delivery location by truck or other transportation method.

2. What are the benefits of delivering a package by air?

One of the main benefits of delivering a package by air is speed. Air travel is much faster than ground transportation, so packages can reach their destination in a shorter amount of time. Additionally, air delivery is often more reliable and can reach remote or hard-to-access locations.

3. How is air delivery regulated?

Air delivery is regulated by government agencies, such as the Federal Aviation Administration (FAA) in the United States. These agencies set safety and security standards for air transportation, and also regulate routes, schedules, and pricing for air delivery services.

4. What types of packages can be delivered by air?

Virtually any type of package can be delivered by air, as long as it meets weight and size restrictions set by the delivery company. This can include letters, documents, small packages, and even large and heavy items like furniture or machinery.

5. What are some challenges of delivering packages by air?

One of the main challenges of delivering packages by air is inclement weather. Flights can be delayed or cancelled due to storms or high winds, which can impact delivery times. Another challenge is cost, as air delivery can be more expensive than ground transportation. Additionally, there are strict regulations and security measures in place for air travel, which can add complexity to the process.

Similar threads

  • Introductory Physics Homework Help
Replies
13
Views
2K
  • Introductory Physics Homework Help
Replies
6
Views
3K
  • Introductory Physics Homework Help
Replies
18
Views
2K
  • Introductory Physics Homework Help
Replies
8
Views
15K
  • Introductory Physics Homework Help
Replies
1
Views
3K
  • Introductory Physics Homework Help
Replies
2
Views
2K
  • Introductory Physics Homework Help
Replies
11
Views
17K
  • Introductory Physics Homework Help
Replies
1
Views
7K
Replies
14
Views
3K
  • Introductory Physics Homework Help
Replies
2
Views
4K
Back
Top