Flight Distance Calculation Challenge

Calculation of Flight Distance:

The bird first flies 2.0km south and then 1.5km 37° east of south. To find the total distance it needs to fly to return to its original place, we need to calculate the resultant displacement.

Let's represent the two displacements in vector form:

d1: -2 km (south)

d2: 0.9km east, -1.2km south

To find the resultant displacement, we add the two vectors:

d: 0.9km east, -3.2km south

Now, we calculate the magnitude of the displacement:

d = √(0.9² + (-3.2)²) = 3.324 km