4.) an apartment building is on fire and a guy is trapped on the fire escape ladder. there is a
dumpster that is 6.3m away and is filled full of trash, and he is 7m above it. if he jumps totally
in the horizontal direction, how fast does he have to jump in order to land in the dumpster?

Visualize the problem and identify special cases first examine the problem by drawing a picture and visualizing the motion. apply newton's 2nd law, ∑f⃗ =ma⃗ , to each body in your mind. don't worry about which quantities are given. think about the forces on each body: how are these consistent with the direction of the acceleration for that body? can you think of any special cases that you can solve quickly now and use to test your understanding later? one special case in this problem is if m2=0, in which case block 1 would simply fall freely under the acceleration of gravity: a⃗ 1=−gj^.