Case 5: Hancock Not nice to call people names Not nice to throw people like that
The boy was in the air for 23 seconds. So, how fast did Hancock throw him? What if there is no air resistance? if acceleration = g, and no air resistance - then initial speed = final speed v initial = 113 m/s or 250 mph If the boy is accelerated over 2 meters, what would it be?
Air Resistance At 250 mph, air resistance plays an important role C is a coefficient of air resistance Force is in the opposite direction as v Depends on other stuff also density of air cross section area shape
Finding C Assume that the boy would fall at a terminal velocity similar to an adult. For a falling person: At terminal velocity, air resistance = gravity
How to model this motion? Problem: Net force is not constant. Break it into pieces of time that have about constant force. - Numerical Calculation Plan: Calculate the force Calculate the acceleration Update velocity Update position Update time Plot stuff
How fast to be in the air for 23 seconds? What if v-initial = 113 m/s with air? No air resistance air resistance
Keep running program with different initial velocities Record initial v and time of flight
Back to acceleration If the boy is thrown in 2 meters with a final speed of 400 m/s... from work-energy: Put in some numbers Verdict: I am pretty sure this is fake.