Runner A is initially 8.0 mi west of a flagpole and is running with a constant velocity of 5.0 mi/h due east. Runner B is initially 3.0 mi east of the flagpole and is running with a constant velocity of 3.0 mi/h due west. How far are the runners from the flagpole when they meet?

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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Runner A is initially 8.0 mi west of a flagpole and is running with a constant velocity of 5.0 mi/h due east. Runner B is initially 3.0 mi east of the flagpole and is running with a constant velocity of 3.0 mi/h due west. How far are the runners from the flagpole when they meet? 

 

(mi)

Expert Solution
Step 1

Given: The distance of the runner A from the flagpole is 8.0 mi west

           The velocity of runner A is 5.0 mi/h. 

            The distance of the runner B from the pole is 3.0 mi east 

           The velocity of runner B is 5.0 mi/h. 

To determine: The distance of the runners from the flagpole 

Assume the time T at which both the runners meet 

The distance covered by runner A is the product of speed and time 

DA=8T

The distance covered by runner B is the product of speed and time 

DB=5T

The total distance covered by both the runners is 8 mi+3 mi=11 mi

11 mi=DA+DB11 mi=8T+5TT=0.85 hours 

 

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