A ‘rogue satellite’ has its distance from Earth, d thousand kilometres, modelled by a cubic function of time, t days after launch. After 1 day it reaches a maximum distance from Earth of 4000 kilometres, then after 2 days it is 2000 kilometres away. It effectively returns to Earth after 3 days, then moves further and further away.
a What is the satellite’s initial distance from Earth?
b Sketch the graph of d versus t for the first 6 days of travel.
c Express d as a function of t.
Hello, I'm a 17 year old student from australia and was wondering if anyone can help me with this problem. A and B were easy, but i have no idea how to do C. How do you create a cubic function with that information given? Is there a certain fomular or something?
Thanks for any help you can offer.