A student observes an airplane fly overhead with a constant velocity

Question

parallel to the x-axis at a height of 7.60 × 103 m. At time t = 0 the airplane is directly
above the student, the vector P~
o = 7.60 × 103ˆj m describes the position on the airplane
with respect to the student. At time t = 30.0 s, the position vector has changed to
P~
30 =
�
8.04 × 103ˆi + 7.60 × 103ˆj
�
m as shown in the figure below. Determine the magnitude
and orientation of the airplane’s position vector at t = 45.0 s.