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.

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

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

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

State Kepler's three laws of planetary motion.

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.

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