An object of mass is dropped from a tower. The object's drag force is given by where is a positive constant. What will the objects terminal velocity be?

A spherical asteroid has a hole drilled through the center as diagrammed below:

Refer to the diagram above. An object that is much smaller than the asteroid is released from rest at the surface of the asteroid, at point a. How do the velocity and acceleration of the object compare at point b at the surface, and point a, located at the center of the asteroid?

A block with a mass of is traveling at when it impacts the ground. From how many meters off the ground was the block dropped?

Round to the nearest whole number.

A ship of mass and an initial velocity of is coasting to a stop. The water exerts a drag force on the ship. The drag force is proportional to the velocity:

where the negative sign indicates that the drag force acts in a direction opposite the motion. After the ship has coasted for a time equal to , how fast (in terms of ) will the ship be moving?