Respuesta :
Answer:
The average velocity of the airplane for this trip is 1684.21 km/h
Explanation:
Average velocity is the rate of change of displacement with time. That is,
Average velocity = [tex]\frac{Displacement }{Change in time}[/tex] = Δx / Δt = [tex]\frac{x2 - x1}{t2 - t1}[/tex]
Now we will calculate the time taken by the airplane for the first motion before it encounters a wind.
From,
Velocity = [tex]\frac{Distance traveled}{Time taken}[/tex]
Time = [tex]\frac{Distance traveled}{Velocity}[/tex]
Therefore, Time = [tex]\frac{2100km }{1000km/h}[/tex]
Time = 2.1h
This is the time taken before the airplane encounters a wind.
Hence, t1 = 2.1h
Now, For the time taken by the airplane when it encounters a wind
Also from,
Velocity = [tex]\frac{Distance traveled}{Time taken}[/tex]
Time = [tex]\frac{Distance traveled}{Velocity}[/tex]
Therefore, Time = [tex]\frac{1300km }{800km/h}[/tex]
Time = 1.625h
Hence, t2 = 1.625h
Now, to calculate the average velocity
Average velocity = [tex]\frac{x2 - x1}{t2 - t1}[/tex]
x1= 2100, x2= 1300, t1= 2.1h and t2= 1.625h
Hence, Average velocity = [tex]\frac{1300 - 2100}{1.625 - 2.1}[/tex]
Average velocity = 1684.21 km/h
