Posted by stacy on Sunday, September 26, 2010 at 9:51pm.
Emily challenges her husband, David, to catch a $1 bill as follows. She holds the bill vertically, with the center of the bill between David's index finger and thumb. David must catch the bill after Emily release it without moving his hand downward. If his reaction is 0.2 s, will he succeed? Explain your reasoning.

Physics  MathMate, Sunday, September 26, 2010 at 10:17pm
The bill is about 7 cm. high.
So David has to catch it before it falls through 7cm, assuming David's fingers are right below Emily's.
Here,
g=9.8 m/s²
S=0.07m
initial velocity, u =0
S=ut+(1/2)gt²
Solve for t to see if it exceeds 0.2 s.
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