Amigrating robin flies due north with a speed of 12 m/s relative to the air. the air moves due east with a speed of 6.7 m/s relative to the ground. part a what is the robin's speed relative to the ground?

Here it is given that speed of migrating Robin is 12 m/s relative to air

so we can say that

North

so it will be

Let North direction is along Y axis and East direction is along X axis

also it is given that speed of air is 6.7 m/s relative to ground

now as we know by the concept of relative motion

now by rearranging the terms

now we need to find the speed of Robin which means we need to find the magnitude of its velocity which we found above

So here we will say

so the net speed of Robin with respect to ground will be 13.7 m/s