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looks good, except it should be
(100-10)/20
a = 100 - 10/20 = 4.5 m/s^2
did I do this right?
(100-10)/20
First, let's calculate the change in velocity of the aircraft during takeoff:
Change in velocity = final velocity - initial velocity
Final velocity = 100 m/s (given)
Initial velocity = 10 m/s (given)
Change in velocity = 100 m/s - 10 m/s = 90 m/s
Next, let's calculate the time it takes for the aircraft to achieve this change in velocity:
Time = 20 s (given)
Now, we can calculate the average acceleration during takeoff:
Average acceleration = change in velocity / time
Average acceleration = 90 m/s / 20 s = 4.5 m/s^2
Therefore, your calculation is correct. The magnitude of the aircraft's average acceleration during takeoff is 4.5 m/s^2. Well done!