You have been hired for a show on the "SyFy" channel to investigate bizarre happenings. The show is
called, That Ain't No Jive. On your pilot episode you are investigating a report that a man floated down from the top of a building being built while holding a 4 ft x 8 ft piece of plywood as a parachute over his head. Below are the facts as we know it so far.
Witness name: Miss Creant,
Witness location: Position "A"
Account: Miss Creant saw the construction worker, Lucky Chance, leap off the top of an unfinished building. When she saw Lucky, he was moving at a fast jog off the building. When he got to the edge, he moved horizontally with out leaping up or down. As Lucky descended, he disappeared from her site because a tree blocked her view at some point. But later he saw Lucky standing on the ground inside the orange fence.
Witness name: Mr. Meanor,
Witness location: Position "B"
Account: Mr. Meanor saw Lucky Chance jump horizontally off the top edge of the building. Witness says he did not jump up or downwards as he left the ledge. He leapt of the 6th floor of the building. He was walking off the edge with a piece of plywood over his head. While Lucky was in the air he seemed to drift to the left. Mr. Meanor fell backwards and did not see where Mr. Chance landed. Later Mr. Meanor saw Lucky carrying the wood outside the orange fence.
Because this is your television show, you have a team of researchers to do the dirty work for you. Here is what they have come up with so far.
Each floor of this building is 3.50 m above the previous one. According to other measurements and experiments from your team, the time Mr. Chance took to fall was 3.10 seconds. Mr. Chance is 6'4' tall, (1.93 m). On the next page is a map your team created of the construction site. This map includes the footprints left by Mr. Chance as he left the 6th floor. Your team has also looked at weather reports and determined that there was a wind blowing from right to left on the map. They further concluded that a person using a piece of plywood as a parachute would drift sideways at a constant velocity of 5 m/s.
Determine who is the more reliable witness and figure out if Lucky could have landed while missing all the obstacles on the map.
Estimating Speed From Footprints
v = speed in m/s
h= height from the ground to the hip. Typically this is half the height of the person.
g = the acceleration due to gravity
S = length of the stride as measured from the heel of the right/left foot to the heel of the same foot.