What Does the Plane's Position and Velocity Indicate About Its Flight Status?

In summary, the conversation discussed the origin of an airplane, the orientation of the x and y axes, and the position and velocity vectors of the plane at a later time. The question was to determine the most likely state of the plane, with options including ascending, descending, just touching down, in level flight, or taking off. The conversation concluded with a suggestion to consider the i and j components of the vectors for each option.
  • #1
XodoX
203
0

Homework Statement



The site from which an airplane takes off if the origin. The x-axis points east, the y-axis points straight up. The position and velocity vectors of the plane at a later time are given by:
r=(1.61*10^2i) m and v =+100i m/s
The plane most likely is____

a) ascending b) descending c) just touching down d) in level flight in the air e) taking off

Homework Equations





The Attempt at a Solution



Thought I could exclude C because it's greater than 0, but j isn't give and j could be 0. No idea what the correct answer is.
 
Physics news on Phys.org
  • #2
Think about what the position and velocity vectors of the airplane would look like for each of the five answers to the multiple choice. There's no need to get all quantitative and do calculations; it's enough to just think about what it would mean if each of the i and j components were positive, zero, or negative.
 

FAQ: What Does the Plane's Position and Velocity Indicate About Its Flight Status?

What is motion in 2-dim?

Motion in 2-dim refers to the movement of an object along two perpendicular axes (x and y) in a two-dimensional space. This means that the object can move in both the horizontal and vertical directions simultaneously.

What are vectors in relation to motion in 2-dim?

Vectors in motion in 2-dim represent both the magnitude (size) and direction of the movement of an object. They are commonly represented by arrows, with the length of the arrow indicating the magnitude and the direction of the arrow indicating the direction of movement.

How are vectors used in analyzing motion in 2-dim?

Vectors are used in analyzing motion in 2-dim by breaking down the movement into its horizontal and vertical components. This allows for a more precise understanding of the direction and speed of the object's motion.

What is the difference between displacement and distance in motion in 2-dim?

Displacement refers to the straight-line distance between the starting and ending point of an object's motion, while distance refers to the total length of the path traveled by the object. Displacement takes into account the direction of movement, while distance does not.

How do you calculate velocity and acceleration in motion in 2-dim?

Velocity in 2-dim can be calculated by dividing the displacement in the x and y directions by the time taken to travel that distance. Acceleration in 2-dim can be calculated by dividing the change in velocity in the x and y directions by the time taken for that change to occur.

Back
Top