An aeroplane flies for 12 min at a velocity of 430 km/h due North. (a) Calculate the displacement of the aeroplane. (b) How long would the pilot take for the same flight if the average velocity of the acroplane is increased by 20%?​

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Answer 1

According to the information we can infer that the displacement of the airplane is 86 km due North (a); On the other hand, the pilot would take 10 minutes for the same flight if the average velocity of the airplane is increased by 20% (b).

How to calculate the displacement of the airplane?

To calculate the displacement of the airplane, we can use the formula:

Displacement = Velocity x Time

Given that the velocity of the airplane is 430 km/h and it flies for 12 minutes, we can convert the time to hours by dividing it by 60:

Time = 12 minutes / 60 = 0.2 hours

Now we can calculate the displacement:

Displacement = 430 km/h x 0.2 hours = 86 km

So, the displacement of the airplane is 86 km due North.

How long would the pilot take for the same flight if the average velocity of the acroplane is increased by 20%?

If the average velocity of the airplane is increased by 20%, we need to find the new velocity. 20% increase in velocity means adding 20% of the current velocity to the current velocity:

New velocity = Current velocity + (20% of current velocity)New velocity = 430 km/h + (0.2 x 430 km/h) = 430 km/h + 86 km/h = 516 km/h

Now, we can calculate the time it would take for the same flight with the new velocity. Using the formula:

Time = Distance / Velocity

Distance is the same (86 km) and the new velocity is 516 km/h:

Time = 86 km / 516 km/h = 0.167 hours

Converting the time to minutes:

Time = 0.167 hours x 60 = 10 minutes

So, the pilot would take 10 minutes for the same flight if the average velocity of the airplane is increased by 20%.

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