Two-deminsional motion problem: HELP

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In summary, NASA uses a KC135A aircraft to simulate microgravity conditions for astronaut training and equipment testing. During a parabolic flight, the aircraft reaches an altitude of 28,210 ft with a velocity of 150 m/s, then enters free-fall with astronauts and equipment experiencing weightlessness. The altitude at the top of the maneuver can be calculated using basic kinematics equations, similar to a projectile launched at 45 degrees.
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ashleyymariie
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two-deminsional motion problem: HELP!

Homework Statement



In microgravity astronaut training and equipment testing, NASA flies a KC135A aircraft along a parabolic flight path. As shown in the figure, the aircraft climbs from 24,000 ft to 28,210 ft, where it enters a parabola with a velocity of 150 m/s at 45.0° nose high and exits with velocity 150 m/s at 45.0° nose low. During this portion of the flight, the aircraft and objects inside its padded cabin are in free-fall; astronauts and equipment float freely as if there were no gravity.

What is the aircraft's altitude at the top of the maneuver?

Homework Equations





The Attempt at a Solution



I tried using the basic kinematics equations but I am not ending up with the correct altitude
 
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  • #3


i have already tried that
 
  • #4


It's hard to tell where you've gone wrong without seeing your attempt at the solution.
 
  • #5


GOT IT! thanks!
 
  • #6


Cool!
 

1. What is two-dimensional motion?

Two-dimensional motion refers to the movement of an object in two directions, typically represented as the x and y axes on a graph. This type of motion is often seen in physics and engineering problems, and involves both horizontal and vertical displacement.

2. How is two-dimensional motion different from one-dimensional motion?

One-dimensional motion only involves movement in a single direction, while two-dimensional motion involves movement in two directions simultaneously. This adds complexity to the problem, as both horizontal and vertical components must be considered.

3. What is the formula for calculating displacement in two-dimensional motion?

The formula for calculating displacement in two-dimensional motion is:
d = √(Δx² + Δy²)
where d is the total displacement, Δx is the horizontal displacement, and Δy is the vertical displacement.

4. How do I determine the angle and magnitude of velocity in two-dimensional motion?

To determine the angle and magnitude of velocity in two-dimensional motion, you can use trigonometric functions. The angle can be found using the inverse tangent (arctan) function, and the magnitude can be found using the Pythagorean theorem with the x and y components of velocity.

5. What are some common examples of two-dimensional motion in everyday life?

Some common examples of two-dimensional motion in everyday life include throwing a ball, a car turning a corner, and a plane taking off. In all of these situations, the object is moving in both a horizontal and vertical direction at the same time.

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