Question

Letícia leaves the grocery store and walks 150.0 m to the parking lot. Then, she turns 90° to the right and walks an additional 70.0 m to her car. What is the magnitude of the displacement of her car from the grocery store exit? Round your answer to the nearest tenth.

Answer 1

So you need to find the resulting length between the two distances. If you look at the two vectors as components of a right triangle then you can use Pythagorean theorem to solve for the last side. it is simply $\sqrt{150^{2}+70^{2}}$  which equals 165.5

Answer 2

Answer:

165.5 m

Explanation:

In this problem, we have two displacements:

- A first displacement of 150.0 m forward

- A second displacement of 70.0 m to the right

The two displacement are in perpendicular direction, so in order to calculate the resultant displacement, we can use the Pytagorean theorem (in fact, the two displacements are the sides of a right triangle, and the hypothenuse corresponds to the magnitude of the resultant displacement).

Therefore, the magnitude of her total displacement is:

$R=\sqrt{d_1 ^2 +d_2^2}=\sqrt{(150.0 m)^2+(70.0 m)^2}=165.5 m$