Originally Posted by Spectral
In the chapter, we saw that a person’s reaction time is generally not quick enough to allow them to catch a dollar bill dropped between the fingers. A demonstration of reaction time is to hold one end of a dollar bill so that it hangs lengthwise below your fingers, then ask a friend to hold his fingers near the center of the bill. When you release the bill, he is to try to catch it.
If a typical reaction time in this case is 0.20 s, how long would a bill need to be for a person to have a good chance of catching it?
I cannot figure this problem out.
I've used 3 different formulas and come up with 19.6cm all 3 times.
But when i post that answer i get this response.
"Keep in mind that your friend's fingers are originally aligned with the center of the bill. If he is to just catch the bill in time, he would grab the bill at the top."
9.81m/s≤ is acceleration due to gravity. since you would have to catch the bill within .2s, velocity is 1/5 of that, so velocity is 1.96m/s, or 196cm/s
196m/s over 0.2s is 39.2cm. The bill will fall 39.2cm before you can react. However, since you start by holding the bill in the middle, 39.2cm is only half of the length of the bill, so the whole bill would be 78.4cm
I'm not positive on this one like i was your last assignment, but that's my best shot ATM. It shouldnt be correct though, because velocity would only be 1.96m/s if you assume acceleration is linear, and we all know it to be exponential.