Calculate the escape velocity from the surface of the earth, given g = 9.8 m s⁻² and R = 6.4 × 10⁶ m.

At what height above the earth's surface does the acceleration due to gravity fall to one-fourth of its surface value? Take R = 6,400 km.

A satellite orbits close to the earth's surface. Find its orbital speed. Take g = 9.8 m s⁻² and R = 6.4 × 10⁶ m.

State Kepler's three laws of planetary motion.

What is a geostationary satellite? State two conditions it must satisfy.

Distinguish between the acceleration due to gravity and the universal gravitational constant.

For a projectile launched at speed u, at what angle is the horizontal range greatest, and what is that range?