Velocity
if you change direction, say turn around, so does your velocity
an increase in velocity is called accelleration
F=dP/dt. So you want the momentum to change as slowly as possible in time to minimize the force. So as you catch the egg, let your hand move backward with it for awhile, slowly bringing it to a stop. If you hold your hand steady when you catch it the force due to the impact could break it.
Tranquilizers
Because they are meant to put you at ease which may cause drowsiness and mental clouding
M1 v1 = (m1 + m2)v2.
All of the exponents should be lowered to the bottom right of the letters.
I believe it would be choice A. but not 100% possitive