Emily challenges her friend David to catch a dollar 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 releases it without moving his hand downward. If his reaction time is 0.2 s, will he succeed? Explain your reasoning.

Respuesta :

Answer:

David will not  be able to catch the bill .

Explanation:

Reaction time = .2 s .

During this period bill will fall vertically between the fingers.

Distance of fall = 1/2 x g x t²

= .5 x 9.8 x 0.2²

= 19.6 cm or 20 cm .

Generally the bill has size of the order of 25 cm . From central point it requires a fall of 12.5 cm for the bill to escape the catch . Since fall is of 20 cm , that means bill will fall below the level of fingers in .2 s .

So David will not be able to catch the bill.