Question

Three ships a,b and c are in motion. The motion of a as seen by b is with speed v towards North-East. The motion of b as seen by c is with speed v towards the North-West. Then as seen by a,c will be moving towards a) North b) south c) East d) West

Answer 1

Let W-E direction is x, and S-N direction is y.

From the first condition,

Va−Vb=1/√2(iˆ+jˆ)

1/√2(iˆ+jˆ) is unit vector along NE direction.

From the second condition,

Vb−Vc=1/√2(−iˆ+jˆ)

1/√2(−iˆ+jˆ) ​is unit vector along NW direction.

Velocity of C wrt A is

Vc−Va.=(Vc−Vb)−(Va−Vb)=1/√2(iˆ−jˆ)−1/√2(iˆ+jˆ)=−2‾√vjˆ

So C is moving toward South wrt A.

Answer 2

Explanation:

See the above attachment for the given question