The site from which an airplane takes off is 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
And
)
The magnitude,in meters,of the plane's displacement from the origin is

Question

The site from which an airplane takes off is 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

And

)
The magnitude,in meters,of the plane's displacement from the origin is

Quizplus · Accepted Answer

To find the magnitude of displacement, we need to find the distance between the origin and the endpoint of the position vector.

Using the Pythagorean theorem:

distance = sqrt(390^2 + 180^2 + 720^2) 
distance = 1842.319 meters

Rounding to two significant figures, we get:

distance = 1.8 × 10^3 meters

Therefore, the answer is C) 1.84 × 10^3 meters.

The Site from Which an Airplane Takes Off Is the Origin.The