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A reconnaissance plane flies 545 km away from
its base at 568 m/s, then flies back to its base
at 852 m/s.
What is its average speed?
Answer in units of m/s.



Answer :

CintiaSalazar

Considering the definition of speed, the average speed of the plane is 681.6 m/s.

Speed

speed ​​is a quantity that expresses the relationship between the space traveled by an object.

In other words, speed can be defined as the amount of space traveled per unit of time with which a body moves and can be calculated using the expression:

speed= distance traveled÷ time

Average speed in this case

In this case, you know:

  • Part 1 of the trip: A reconnaissance plane flies 545 km (545,000 m) away from its base at 568 m/s,
  • Part 2 of the trip: The reconnaissance plane flies back to its base at 852 m/s.

So, in both cases you know the distance traveled and the speed. Therefore, you must calculate the time in which each part of the trip is made, in order to later know the total time. For this, the definition of speed is used:

  • Part 1 of the trip: 568 m/s= ÷ time → 568 m/s× time= 545,000 m → time= 545,000 m÷ 568 m/s → time= 959.5070 s
  • Part 2 of the trip: 852 m/s= 545,000 m÷ time  → 852 m/s× time= 545,000 m → time= 545,000 m÷ 852 m/s → time= 639.6714 s

So, you know:

  • total distance traveled= 545,000 m + 545,000 m= 1,090,000 m
  • total time= 959.5070 s + 639.6714 s= 1599.1784 s

Replacing in the definition of speed:

speed= 1,090,000 m÷ 1599,1784 s

speed= 681.6 m/s

In summary, the average speed of the plane is 681.6 m/s.

Learn more about average speed:

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