A person's reaction time is generally not quick enough to allow the person to catch a $1 bill dropped between the fingers. The 16 cm length of the bill passes through a student’s fingers before she can grab it if she has 0.25 s reaction time. Part A If a reaction time in this case is 0.25 s , how long would a bill need to be for her to have a good chance of catching it?

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03-11-2017
Biology

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A person's reaction time is generally not quick enough to allow the person to catch a $1 bill dropped between the fingers. The 16 cm length of the bill passes through a student’s fingers before she can grab it if she has 0.25 s reaction time. Part A If a reaction time in this case is 0.25 s , how long would a bill need to be for her to have a good chance of catching it?

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Yna9141 Yna9141 · Answer 1 · 2017-11-14T14:34:01+01:00

Yna9141 Yna9141

14-11-2017

We calculate the distance that is traveled by the bill for 0.25s through the equation,

d = Vot + 0.5gt²

Substituting the known values to the equation,

d = (0.5)(9.8 m/s²)(0.25 s)²
d = 0.30625 m

This is equal to 30.625 cm. Hence, the length of the bill should be 30.625 cm.

ANSWER: 30.625 cm

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