91Ó°ÊÓ

Given that the period of the earth is 1 year, and given that Mars's mean distance from the sun is \(1.524\) times that of the earth's mean distance, use Kepler's third law to determine the period of Mars.

According to Kepler's second law, at what point in the planet's orbit will the planet be moving the fastest?

Use the law of tangents to solve a triangle with sides 10 and 13 and included angle \(35^{\circ}\).

Show that a projectile fired at an angle \(\alpha\) from the horizontal follows a parabolic path.

Find out how the use of logarithms was mechanized in the seventeenth century by the invention of the slide rule. Give examples of the various types of slide rules used. When did the slide rule itself become obsolete and why?