Question

An airplane in a holding pattern flies at constant altitude along a circular path of radius 3.46 km


An airplane in a holding pattern flies at constant altitude along a circular path of radius 3.46 km. If the airplane rounds half the circle in 174 s, determine the following. 


(a) Determine the magnitude of the airplane's displacement during the given time (in m) 

(b) Determine the magnitude of the airplane's average velocity during the given time (in m/s). 

(c) What is the airplane's average speed during the same time interval (in m/s)?  

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Answer #1

Suppose the airplane flies from point 1 to point 2 by semicircular path of radius 3.46 km = 3460 m in 174 s.

(a) Displacement in 174 s is linear distance from point 1 to point 2 Which is twice of the radius. . Displacement- 2 x 3460 m


total displacement total time (b) Average velocity

  6920 m 174 S 39.770 m/s

total distance travelea (c) Average speed total time

  π x 3460 m 1745 3.14 x 3460 m 174 S = 62.44 m/s



[Note : In problem (C) π ls taken as 3.14. If one calculate by calculator putting π then average speed will be 62.47 ms

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