Originally Posted by
dominicc 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.
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