An airplane circles an airport. It flies in a circle with r=
1800 m at a constant speed of 60 m/s in a counterclockwise
direction. Place airport at the origin of a circle, i hat pointing
east, j hat as pointing north. Only consider the lateral motion.
When the airplane is northeast of the airport (45 degrees angle
from i hat vector), then,
a. What are the x and the y components of the airplane's position
vector at this moment?
b. Make a sketch of the plane's velocity vector at this moment and
indicate i hat and j hat directions. what are the x and y
components of this velocity vector?
c. Sketch the airplane's acceleration vector at this moment. What
are the x and y components of a?
d. At a later time t, the airplane is due northwest of the airport
(position vector is 135 degrees angle from the i hat vector at this
moment. What is the DIRECTION of the average acceleration vector
between the time at 45 degrees and now? (Use the definition of
average acceleration vector and only calculate the direction, not
the magnitude)
An airplane circles an airport. It flies in a circle with r= 1800 m at a...
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