Problem $3$

A construction student is working on the remodeling of the white house for the incoming administration testing the effectiveness of a hammer in driving nails into wood. The student swung the hammer weighing approximately $0\mathrm{.}450$ kg horizontally at a speed of $7\mathrm{.}00\frac{m}{s}.$ When it hits the nail, it came to a complete stop after pushing the nail $1\mathrm{.}00$ cm into a wooden board.

A$.$ Calculate the time it took for the hammer to bring the nail to a stop. $[4$ points$]$

B$.$ Applying Newton's second law, find the average force applied by the hammer to drive the nail into the wood.

$[2$ points$]$