You jump off of the top of your house and hope to land on a wooden deck below.

Consider the following possible outcomes:

i$)$ You hit the deck, but it isn$$t wood! A camouflaged trampoline slows you

down over a time period of $0\mathrm{.}2$ seconds and sends you flying back up into the

air.

ii$)$ You hit the deck with your knees locked in a straight$-$legged position. The

collision time is $0\mathrm{.}01$ seconds.

iii$)$ You hit the deck and bend your legs, lengthening the collision time to $0\mathrm{.}2$

seconds.

iv$)$ You hit the deck, but it isn$$t wood! It is simply a piece of paper painted to

look like a deck. Below is an infinite void and you continue to fall, forever.

a$.$ Which method will involve the greatest force acting on you?

b$.$ Which method will involve the least force acting on you?

c$.$ Which method will land you on the deck in the least pain?

d$.$ Which method involves the least impulse delivered to you?

e$.$ Which method involves the greatest impulse delivered to you?