Exercise. The Earth travels in an orbit around the Sun that can be approximated by a circle. The distance from the Earth to the Sun is (on average) 1 au. We are going to make some models of the Earth's orbit in the (x, y)-plane. For all of our models, we will make the following assumptions: • The Sun will be at the origin. 0, the Earth will be at the point (1, 0) in the (x, y)-plane. • At the starting time, t • The Earth will travel in a counterclockwise direction around the Sun. Exercise. Give a parametrization of the Earth's orbit that will model the Earth's position in terms of t, where the units are years. y (t) = Exercise. Give a parametrization of the Earth's orbit that will model the Earth's position in terms of t, where the units are months. m(t) Exercise. Give a parametrization of the Earth's orbit that will model the Earth's position in terms of t, where the units are days. Given that the Earth's orbit has a circumference of 940 million miles, give a parametrization of the Earth's orbit that will model the Earth's position in terms of s, the distance Exercise. traveled in millions of miles. e (s) = Chat Windo

Question
Exercise. The Earth travels in an orbit around the Sun that can be approximated by a circle. The distance from the Earth to the Sun is (on average) 1 au. We are going to make some models of
the Earth's orbit in the (x, y)-plane. For all of our models, we will make the following assumptions:
• The Sun will be at the origin.
0, the Earth will be at the point (1, 0) in the (x, y)-plane.
• At the starting time, t
• The Earth will travel in a counterclockwise direction around the Sun.
Exercise. Give a parametrization of the Earth's orbit that will model the Earth's position in terms of t, where the units are years.
y (t) =
Exercise. Give a parametrization of the Earth's orbit that will model the Earth's position in terms of t, where the units are months.
m(t)
Exercise. Give a parametrization of the Earth's orbit that will model the Earth's position in terms of t, where the units are days.
Given that the Earth's orbit has a circumference of 940 million miles, give a parametrization of the Earth's orbit that will model the Earth's position in terms of s, the distance
Exercise.
traveled in millions of miles.
e (s) =
Chat
Windo
Expand
Transcribed Image Text

Exercise. The Earth travels in an orbit around the Sun that can be approximated by a circle. The distance from the Earth to the Sun is (on average) 1 au. We are going to make some models of the Earth's orbit in the (x, y)-plane. For all of our models, we will make the following assumptions: • The Sun will be at the origin. 0, the Earth will be at the point (1, 0) in the (x, y)-plane. • At the starting time, t • The Earth will travel in a counterclockwise direction around the Sun. Exercise. Give a parametrization of the Earth's orbit that will model the Earth's position in terms of t, where the units are years. y (t) = Exercise. Give a parametrization of the Earth's orbit that will model the Earth's position in terms of t, where the units are months. m(t) Exercise. Give a parametrization of the Earth's orbit that will model the Earth's position in terms of t, where the units are days. Given that the Earth's orbit has a circumference of 940 million miles, give a parametrization of the Earth's orbit that will model the Earth's position in terms of s, the distance Exercise. traveled in millions of miles. e (s) = Chat Windo

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