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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

Emily challenges her husband, David, to catch a $1 bill as follows. She holds the bill vertically as in Figure P2.67, 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. (This challenge is a good trick you might want to try with your friends.)

images

Figure P2.67

To determine
The possibility of David to catch the bill.

Explanation

Given Info:

The initial velocity of the bill is 0

The time of reaction is 0.2s

The acceleration of the bill is 9.80m/s2

The formula used to calculate the displacement of the bill  is,

Δy=v0t+12at2

  • Δy is the displacement of the bill
  • t is the time of reaction of David
  • v0 is the initial velocity of the bill
  • a is the acceleration

Substitute 0 for v0 , 9.80m/s2 for a and 0.2s for t to find Δy .

Δy=(0)(0

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