3. (20 points; 4 points each) A police officer was shot point blank by a criminal using a Glock 22 handgun and a Speer Gold Dot® hollow point bullet while leaning against a wall. Wisely, the police officer was wearing Level Type Ⅱ body armor. The bullet had a velocity v of 350 m/s in the positive x direction and mass mb of 0.011 kg (11 grams) in the instant before it collided with the armor. The bullet was fully stopped and remained stuck to the armor over the armor’s full thickness Ax of 0.005 m (5mm). a) Assuming constant acceleration and using the equations of kinematics, calculate the time t required for the bullet to come to rest if the police officer was braced against the wall and did not recoil from the shot. As there is an external force (the police officer is braced against the wall) momentum is not conserved. b) What was the impulse J of the vest on the bullet in units of kg-m/s? c) What was the impulse of the bullet on the vest in units of kg-m/s? d) Using the time t from a) and the impulse from c) calculate the average force F of the bullet on the vest in units of N. e) Using the chain-link conversion method, convert the average force F found in d) to units of pounds (lb) using the conversion relation 1 lb = 4.448 N. f Extra Credit (5 points) Suppose the police officer was not wearing body armor, and the bullet penetrated 6 inches into her stomach before coming to rest, calculate the average force F of the bullet on the officer in units of pounds (lb). 1 inch = 0.0254 m.