Module 3 -quarterly test 1

Question 1

We always define the angle of a vector relative to what?

Answer 1

the positive x-axis

Question 2

Would the following observables be represented by the magnitude or angle of a vector?
Speed, Heading, Direction, and Distance.

Answer 2

Speed and distance would be represented by the magnitude, and heading and direction would be represented by the angle.

Question 3

Does a vector pointing straight up on the Y-axis have an x-component?

Answer 3

yes, all vectors have an x- and y- component

Question 4

If a vector has an x-component that is negative and a y-component that is positive, which region of the Cartesian coordinate plane does it fall in? What would we have to do to ensure that the angle was defined properly?

Answer 4

In region II. Add 180 degrees

Question 5

If a vector has an x-component that is negative and a y-component that is negative, which region of the Cartesian coordinate plane does it fall in? What would we have to do to ensure that the angle was defined properly?

Answer 5

In region III. Add 180 degrees

Question 6

If a vector has an x-component that is positive and a y-component that is negative, which region of the Cartesian coordinate plane does it fall in? What would we have to do to ensure that the angle was defined properly?

Answer 6

In region IV. Add 360 degrees.

Question 7

Fill in the blank: When solving two-dimensional problems, physicists usually split them up into ______________ _______-___________ problems.

Answer 7

two one-dimensional

Question 8

What is two-dimensional motion?

Answer 8

Motion that occurs in a plane

Question 9

What do arrows in two dimensional vectors represent?

Answer 9

The length of the arrow is the magnitude of the vector and the arrow points out the direction

Question 10

what does the angle between the arrow in a two-dimensional vector and the x-axis represent?

Answer 10

the direction of the vector

Question 11

How do you add vectors graphically?

Answer 11

You take the tail of the second vector and place it at the head of the first vector. The vector that then completes the triangle by starting at the tail of the first and pointing to the head of the second represents the sum of the two vectors.

Question 12

How do you subtract vectors?

Answer 12

Take the vector being subtracted and make it point in the opposite direction, then add it to the first. The vector that completes the triangle represents the difference of the two vectors.

Question 13

When calculating the angle of a vector what do you have to add depending on what quadrant it is in?

Answer 13

If it is in the first quadrant you add nothing; if it is in the second or third quadrant, you add 180; if it is in the fourth quadrant, you add 360.