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 $59,000 \mathrm { kg } / \mathrm { sec } .$ 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$\mathrm { m } / \mathrm { sec } ?$