The drawing shows two planes each dropping an empty fuel tank. At the moment of release each plane has the same speed of 113 m/s, and each tank is at the same height of 2.65 km above the ground. Although the speeds are the same, the velocities are different at the instant of release, because one plane is flying at an angle of 15.0° above the horizontal and the other is flying at an angle of 15.0° below the horizontal. Find the (a) magnitude and (b) direction of the velocity with which the fuel tank hits the ground if it is from plane A. Find the (c) magnitude and (d) direction of the velocity with which the fuel tank hits the ground if it is from plane B. In each part, give the direction as a positive angle with respect to the horizontal.
The drawing shows two planes each dropping an empty fuel tank. At the moment of release each plane has the same speed of 113 m/s, and each tank is at the same height of 2.65 km above the ground. Although the speeds are the same, the velocities are different at the instant of release, because one plane is flying at an angle of 15.0° above the horizontal and the other is flying at an angle of 15.0° below the horizontal. Find the (a) magnitude and (b) direction of the velocity with which the fuel tank hits the ground if it is from plane A. Find the (c) magnitude and (d) direction of the velocity with which the fuel tank hits the ground if it is from plane B. In each part, give the direction as a positive angle with respect to the horizontal.
![The image illustrates two aircraft in flight, each climbing at an angle of 15 degrees relative to the horizontal. The diagrams are labeled "Plane A" and "Plane B," respectively.
**Diagram of Plane A:**
- The aircraft is shown ascending at a 15-degree angle.
- A specified part of the aircraft is labeled as the "Fuel tank," highlighting the location of this component.
**Diagram of Plane B:**
- Similarly, Plane B is depicted ascending at the same 15-degree angle relative to the horizontal.
These diagrams are useful for understanding the orientation and positioning of aircraft during an ascent, demonstrating differences (if any) between two specific planes under similar flight conditions. The angle is measured from the horizontal baseline to the path of the aircraft as it climbs.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd192718e-82a1-4b62-ae2b-574a4c32c900%2F5b1808c4-4198-437b-9111-718d7d7d36fc%2F69n2etl.gif&w=3840&q=75)
![### Aircraft Fuel Consumption Efficiency Study
The diagrams below illustrate two different aircraft, labeled Plane A and Plane B, each taking off at an angle of 15 degrees. The purpose of this illustration is to study the efficiency of fuel consumption related to the location of the fuel tank within the aircraft.
**Plane A:**
- **Angle of Ascent:** 15°
- **Fuel Tank Position:** Indicated near the midsection of the aircraft
**Plane B:**
- **Angle of Ascent:** 15°
- **Fuel Tank Position:** Similar aircraft model but with unspecified differences not focused on the diagrams
These diagrams aim to provide a visual representation for a comparative analysis between Plane A and Plane B, emphasizing the influence of fuel tank positioning on the aircraft's performance during ascent. By maintaining identical ascent angles, it allows an examination of how fuel distribution within the aircraft may affect efficiency, stability, and overall aerodynamic performance.
*For further studies or analysis on aircraft efficiency, students can explore related topics on aerodynamics, fuel management systems, and how various factors such as weight distribution and tank placement can impact an aircraft's operational efficiency.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd192718e-82a1-4b62-ae2b-574a4c32c900%2F5b1808c4-4198-437b-9111-718d7d7d36fc%2Fvir7aid.gif&w=3840&q=75)
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