Question is below: (Q5)

Question

A car travels 6 km towards north at an angle of 45^o to the east and then travels distance of 4km towards north at an angle of 135^o to the east. How far is the point from the starting point. What angle does the straight line joining its initial and final positions makes with the east.

Answer 1

We can use vector sum to find out the final position of the car. To do this let us first find out the x and y component of the displacements

For first displacement we have

So the magnitude of the total displacement is

and the angle is

So the correct answer is (C)