To determine Find the time taken by the signal from New York City to Miami if the distance between them is 1100 miles . Explanation Given data: The speed of telephone signal ( v ) through a cable is two thirds the speed of light. ( 2 3 c ) Here, c is the speed of light ( 3 × 10 8 m s ) . The distance ( x ) between the New York city and Miami is 1100 miles . Formula used: Write a general expression that shows the relationship between ' m' and 'cm' , ' in' and 'cm' , ' ft' and 'in' , ' mile' and 'ft' . 1 m = 100 cm 1 in = 2.54 cm 1 ft = 12 in . 1 mile = 5280 ft Write an expression to calculate the time. t = x v (1) Here, v is the speed, and x is the distance. Calculation: Speed of telephone signal ( v ) = 2 3 c (2) Substitute 3 × 10 8 m s for c in equation (2) to find v . v = 2 3 ( 3 × 10 8 m s ) Using product of ratios convert the unit from m s to mile s in above equation to find v . v = 2 3 ( 3 × 10 8 m s ) ⋅ ( 100 cm 1 m ) ⋅ ( 1 in 2

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Chapter 1.2, Problem 1AP

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Find the time taken by the signal from New York City to Miami if the distance between them is 1100 miles.

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Chapter 1.2, Problem 2AP

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