# Two-deminsional motion problem: HELP

• ashleyymariie
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.
ashleyymariie
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?

## The Attempt at a Solution

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

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

GOT IT! thanks!

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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