Question

If a girl walks 6km due west changes directions and walk another 5km due north. Find her displacement in both magnitude and direction

Answer 1

the girl's displacement in both magnitude and direction is 7.81 m at 50.2⁰ North west.

Step-by-step explanation:

Given;

6km due west, and

5km due north

The magnitude of her displacement is calculated by forming a right angled triangle. The hypotenuse side of the triangle is the girl's displacement.

d² = 5² + 6²

d² = 25 + 36

d² = 61

d = √61

d = 7.81 m

The direction of the girl is calculated as;

`tan \ \theta = (6)/(5) \\\\tan \ \theta = 1.2\\\\\theta = tan^(-1) (1.2)\\\\\theta = 50.2^0`

Therefore, the girl's displacement in both magnitude and direction is 7.81 m at 50.2⁰ North west.