Question

You travel 10 m north and then stop for lunch and

continued another 30 m north. You then turn around and

travel 40 m south. What is your displacement?

Answer 1

Zero

Step-by-step explanation:

Displacement is a vector connecting the initial position with the final position of motion of an object.

In this case, we have the following motion:

10 m north

30 m north

40 m south

If we take north as positive direction and south as negative direction, we can identify each motion using the following displacement vectors:

`d_1 = +10 m\\d_2 = +30 m\\d_3 = -40 m`

So, the total displacement is:

`d=d_1+d_2+d_3=10+30-40=0`

Which means that the final position of the motion corresponds to the initial position.