Reaction time of dollar falling between fingers

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SUMMARY

The discussion focuses on calculating the reaction time of catching a falling dollar bill as a test for impairment. The key equation used is d = vit + 1/2at², where 'd' represents the distance the bill falls, 'vi' is the initial velocity (0 m/s), and 'a' is the acceleration due to gravity (-9.8 m/s²). Participants are encouraged to measure the length of the dollar bill to determine 'd' for accurate calculations. The discussion emphasizes the importance of understanding the relationship between the bill's dimensions and the physics involved in the reaction time calculation.

PREREQUISITES
  • Basic understanding of kinematics equations
  • Familiarity with the concept of acceleration due to gravity
  • Ability to measure physical objects accurately
  • Knowledge of the dimensions of a United States one-dollar bill
NEXT STEPS
  • Research the dimensions of the United States one-dollar bill for precise measurements
  • Practice using kinematic equations in different scenarios
  • Explore the effects of air resistance on falling objects
  • Investigate methods to improve reaction time in various tests
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the practical applications of kinematics in real-life scenarios, especially in relation to reaction time and impairment testing.

alexs2jennisha
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Homework Statement


If you are worried about safely driving after a party, I recommend you just not drive! But if you want to
see when you are finally okay to drive, here is a test to see if you are still too “impaired”. Take a dollar bill
and have a friend hold the bill from one of the short sides hanging straight down. Place your thumb and
forefinger opposite the bottom of the bill. Have your friend release the paper suddenly and try to catch it
with your thumb and forefinger. If you can catch this bill three times in a row, you are not too badly
impaired. Assuming the bill was falling freely without air resistance (not a bad assumption for the paper
falling sideways), calculate your reaction time. That is, how long does it take for the entire length of the
bill to fall between your fingers? (Use your hand to measure a dollar bill based on your body
measurements.)

i know that the acceleration is -9.8m/s2



Homework Equations


I was thinking of using d = vit + 1/2at2

but i don't know d



The Attempt at a Solution



if i do know d am i choosing the right equation?
 
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