Solving for the Horizontal Component of Velocity in a Jetliner Moving at 390 m/s

  • Thread starter shawonna23
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In summary, the horizontal component of velocity in a jetliner can be calculated using the formula Vx = Vcosθ, where V is the total velocity and θ is the angle between the direction of motion and the horizontal axis. This component is affected by the total velocity, angle of motion, and external forces such as wind or air resistance. It can be negative if the jetliner is moving in the opposite direction of the horizontal axis and does not directly impact the overall speed of the jetliner. Real-life applications include ensuring safe and efficient flights, aircraft design and optimization, and air traffic control.
  • #1
shawonna23
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Hwk. Problem?

A jetliner is moving at a speed of 390 m/s. The vertical component of the plane's velocity is 37.4 m/s. Determine the magnitude of the horizontal component of the plane's velocity.

What equation would I use to solve this problem?
 
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  • #2
Pythagoras
 
  • #3
Yep, Pythagoras!
 
  • #4
Am I on the right track...

Take square root of 390^2 + 37.4^2= 392 m/s
 
  • #5
That looks like Pythagoras to me!
 

1. How is the horizontal component of velocity calculated in a jetliner moving at 390 m/s?

The horizontal component of velocity can be calculated using the formula Vx = Vcosθ, where V is the total velocity and θ is the angle between the direction of motion and the horizontal axis.

2. What factors affect the horizontal component of velocity in a jetliner?

The horizontal component of velocity is affected by the total velocity of the jetliner, the angle of its motion, and any external forces acting on the aircraft, such as wind or air resistance.

3. Can the horizontal component of velocity be negative in a jetliner?

Yes, the horizontal component of velocity can be negative if the jetliner is moving in the opposite direction of the horizontal axis. This can occur during landing or takeoff, or when the jetliner is being affected by strong crosswinds.

4. How does the horizontal component of velocity impact the overall speed of a jetliner?

The horizontal component of velocity does not directly impact the overall speed of a jetliner. The total speed of the jetliner is determined by its horizontal and vertical components of velocity, which can be combined using the Pythagorean theorem.

5. What are some real-life applications of calculating the horizontal component of velocity in a jetliner?

Calculating the horizontal component of velocity in a jetliner is important for pilots to ensure safe and efficient flights. It can also be used in aircraft design and optimization, as well as in air traffic control for tracking and directing aircraft movements.

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