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1. To convert meters per second to kilometers per hour, which of the conversion factors would be used? Select all that apply.

A. [tex]\frac{1 \text{ km}}{1,000 \text{ m}}[/tex]
B. [tex]\frac{1,000 \text{ m}}{1 \text{ km}}[/tex]
C. [tex]\frac{1 \text{ min}}{60 \text{ sec}}[/tex]
D. [tex]\frac{60 \text{ sec}}{1 \text{ min}}[/tex]
E. [tex]\frac{60 \text{ min}}{1 \text{ h}}[/tex]

2. Convert 2 Liters to gallons. Use the fact that 1 gal = 3.8 L.

A. 22 L = 3.2 gal
B. 22 L = 5.8 gal
C. 22 L = 8.4 gal
D. 22 L = 83.6 gal

3. Convert 5 inches per second to feet per minute.

A. 1 ft/min
B. 25 ft/min
C. 60 ft/min
D. 3,600 ft/min

Answer :

(a) answer : a,d,e

(b) answer : b)22L=5.8gal

(c) answer : b)25ft/min

1. Convert meters per second to kilometers per hour,

1 kilometer = 1000 meters

1 meter = [tex]\frac{1}{1000}[/tex]

1 hour = 60 minutes. it means [tex]\frac{60 minutes}{1 hour}[/tex]

1 minute = 60 seconds. it means [tex]\frac{60 seconds}{1 minute}[/tex]

so [tex]\frac{1}{1000}[/tex] , [tex]\frac{60 minutes}{1 hour}[/tex] and [tex]\frac{60 seconds}{1 minute}[/tex] are the conversion factors used.

(2): Convert 22 Liters to gallons

1gal=3.8L

1 litre = [tex]\frac{1}{3.8}[/tex] gallons

22 litre = [tex]22* \frac{1}{3.8}[/tex] gallons= 5.8 gallons

(3)Convert 5 inches per second to feet per minute.

We know 1 feet = 12 inches and 1 minute = 60 seconds

1 inches per second = [tex]\frac{1}{12} * \frac{60}{1}[/tex]= 5 feet per minute

5 inches per second = 5 * 5 = 25 feet per minute








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