Chapter 3, Problem 3.45P

Review. You are standing on the ground at the origin of a coordinate system. An airplane flies over you with constant velocity parallel to the x axis and at a fixed height of 7.60 × 10³ m. At time t = 0, the airplane is directly above you so that the vector leading from you to it is ${\stackrel{\to }{P}}_{\text{0}}=7.60\times {10}^3\text{m}$. At t = 30.0 s, the position vector leading from you to the airplane is ${\stackrel{\to }{P}}_{30}=(8.04\times {10}^3\hat{i}+7.60\times {10}^3\hat{j})\text{m}$ as suggested in Figure P3.31. Determine the magnitude and orientation of the airplane’s position vector at t = 45.0 s.

Figure P3.31