Big Bang Theory Quiz Prep Problem:
"Lois Lane is falling with an acceleration of 9.8 m/s/s. She then encounters Superman when her speed is 120 mi/hr. He decelerates her in a space of 2 feet. Numerically prove why this would kill her."
Related question: In class you were asked to identify how many of the kinematics quantities were told to you as Givens in the Big Bang Theory scene as quoted above. The answer was six quantities were told to you. That's six of ten. Which six? (And why are there ten possible quantities? - the reason there are ten was stated in class. Make sure you know that conversation.)
Another way of answering why the deceleration in 2 feet is so dangerous is to answer the following: Which quantity (distance, initial velocity, final velocity, time, or acceleration) is it whose extreme value will reveal danger for Ms. Lane. Solve for that quantity, given that the stopping distance is only 2 feet
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Scroll down to see the answer for what to solve for, but try to answer on your own first...
Answer to the question, "What are you solving for?":
Use kinematics to solve for acceleration in Phase II. Phase I is her free-fall motion; Phase II is Superman slowing her down. The six givens in the story are the following:
a - Phase I = 9.8 or 10 m/s/s
vFINAL - Phase I = 120 mi/hr
vINITIAL - Phase I = 0 hidden given
displacement - Phase II = 2 feet
vINITIAL - Phase II = 120 mi/hr
vFINAL - Phase II = 0 hidden given
From the above six givens, any of the following remaining quantities could be solved for:
distance traveled in phase I
time it took Lois to end up moving at 120 mi/hr
acceleration during Phase II
stopping time during Phase II
The attached document will reveal the answer and the solution for the acceleration in Phase II. It's a concise, well-organized 1-page solution which talks about concepts, not just formulas.