Question 3, Dropping Supplies (70 points): A plane is flying horizontally at an altitude $h = 2$ km above the ground. It is traveling at a speed of 220 m/s (about 500 mph). The plane will drop a large crate of supplies near a refugee camp. A large target has been constructed for this purpose. How far (along the horizontal axis) should the plane be when it releases its cargo?
Added by Hannah C.
Close
Step 1
The time it takes to fall from the height of 2 km is given by the equation: $$h = \frac{1}{2}gt^2$$ where h is the height, g is the acceleration due to gravity (9.8 m/s^2), and t is the time. Show more…
Show all steps
Your feedback will help us improve your experience
Averell Hause and 89 other Physics 101 Mechanics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
(II) A rescue plane wants to drop supplies to isolated mountain climbers on a rocky ridge 235 m below. If the plane is traveling horizontally with a speed of 250 km/h (69.4 m/s), how far in advance of the recipients (horizontal distance) must the goods be dropped (Fig. 3-38)?(Figure can't copy)
KINEMATICS IN TWO DIMENSIONS; VECTORS
Projectile Motion
An airplane flying horizontally with a speed of 500 km/h at a height of 800 m drops a crate of supplies (see the following figure). If the parachute fails to open, how far in front of the release point does the crate hit the ground?
Sanu K.
The plane carrying the supplies will be cruising at a constant velocity of 250 miles per hour relative to the ground and at a height of 2,650 meters above the target site. Using this information, create a supply drop plan including all required information and calculations outlined below. As you are completing your supply drop plan, remember that correct SI units are a required component of your calculations and descriptions. Using your understanding of kinematic equations and the given variables in the scenario, calculate the horizontal and vertical motion of the payload to ensure it arrives at the drop site. In your calculations, account for both the horizontal and vertical motion of the payload. Your calculations should address the following: A) Initial velocity of the payload when launched B) The velocity of the payload when it hits the ground
Timothy J.
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD