Coasting battleship Suppose that an Iowa class battleship has mass around 51,000 metric tons $(51,000,000 \mathrm{kg})$ and a $k$ value in Equation (1) of about 59,000 kg/sec. Assume that the ship loses power when it is moving at a speed of $9 \mathrm{m} / \mathrm{sec}$

a. About how far will the ship coast before it is dead in the water?

b. About how long will it take the ship's speed to drop to $1 \mathrm{m} / \mathrm{sec} ?$