As a spacecraft orbits about the earth. It is said to be at its apogee when it is farthest above the earth's surface and its perigee when it is closest to the earth's surface.
1. Suppose that at time to minute, a satellite is at its apogee. Then 50 minutes later, it is at its perigee.
The graph below models the satellite's approximate distance in kilometers from the surface of the earth
at time t minutes
km
-600N
500
P
-100
300
200
100
20 40 60 80 100 120 140 160 180.
a)How far is the satellite from the earth's surface at its apogee and its
perigee? Explain how did you find your answers.
b)Write a function r (x) that models the situation. Show the work that
lead to your answer.