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

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SUMMARY

The discussion centers on determining the flight status of an airplane based on its position vector r=(1.61*10^2i) m and velocity vector v=+100i m/s. The position indicates the plane is 161 meters east of the origin, while the positive velocity suggests it is moving eastward at 100 m/s. Given these vectors, the most accurate conclusion is that the plane is in level flight in the air, as there is no vertical component provided to indicate ascent or descent.

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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.
 
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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.
 

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