What is the resultant displacement of the two vectors below?
vector 1: 2.0 cm, e
vector 2: 3.0 cm, n
a 5.8 cm, 59 degrees east of the north axis
b 5.4 cm, 34 degrees east of the north axis
c 3.6 cm, 56 degrees north of the east axis
d 3.6 cm, 34 degrees north of the east axis

C 3.6 cm, 56 degrees North of the East axis

Explanation:

The two vectors are perpendicular to each other, so we can find the magnitude of their resultant simply by using the Pythagorean theorem:

where

A = 2.0 cm is the magnitude of the first vector

B = 3.0 cm is the magnitude of the second vector

Substituting,

Now we have to find the angle. If we measure the angle as North of East, the tangent of the angle is equal to the ratio between the component along North and the component along East. Therefore, in this case:

So, 56 degrees North of East.

the independent variable, the one that is intentionally manipulated, is whether or not the car hits the barrier.

the dependent variable, the one that you measure the response in, is the distance that the washers travel.