How did Kepler develop his second law of motion?

-He compared data of planetary motion at different times along the orbits
-He used a telescope to carefully follow and time the orbital motion of Mars
-He made accurate measurements of the positions of all the planets over many years
-He invented a telescope that was strong enough to view all planets of the solar system along their orbits

The correct answer is: -He used a telescope to carefully follow and time the orbital motion of Mars.

Kepler developed his second law of motion by studying the motion of the planet Mars. Between 1600 and 1609, he made extensive observations of Mars using a telescope. By carefully tracking its position in the sky and measuring the time it took to move between certain points along its orbit, Kepler was able to deduce that Mars moved faster when it was closer to the Sun and slower when it was farther away. This observation led to the formulation of his second law of planetary motion, also known as the Equal Areas Law or the Law of Equal Areas. This law states that a line connecting a planet to the Sun sweeps out equal areas in equal intervals of time, meaning that planets move faster when they are closer to the Sun and slower when they are farther away.

Kepler developed his second law of motion by comparing data of planetary motion at different times along the orbits. He used a telescope to carefully follow and time the orbital motion of Mars, which allowed him to make accurate measurements of the positions of all the planets over many years. By analyzing this data, Kepler discovered that a line joining a planet to the Sun sweeps out equal areas in equal times, regardless of the planet's distance from the Sun. This became his second law of planetary motion.