2. 1D Motion / Kinematics

Under what circumstances would a vector have components that are equal in magnitude?

Which of the following combinations correctly pairs a vector quantity with its corresponding unit?

If Sue walks home and her home is defined as the origin ($O$), what is her displacement ($d$) upon arriving home?

Which of the following is a pair of vector quantities?

Starting from a pillar, you run a distance 140m east (the + x-direction), then turn around. 

(a) How far west would you have to walk so that your total distance traveled is 300m?

(b) What is the magnitude and direction of your total displacement?

If a vector lies in the first quadrant of a standard Cartesian coordinate system and motion is along a straight path, which of the following conditions will result in both components of the vector being positive?

A force of magnitude $10$ $N$ acts at an angle of $30°$ above the positive $x$-axis in the $xy$-plane. How can this force be expressed as a Cartesian vector?

A person walks $4$ km east and then $3$ km north. What is the magnitude of the resultant displacement from the starting point?

If $\overrightarrow{a}$ and $\overrightarrow{b}$ are vectors, what is the magnitude of $\overrightarrow{b}-3\overrightarrow{a}$ in terms of the magnitudes of $\overrightarrow{a}$ and $\overrightarrow{b}$, assuming they are in the same direction?

Why is $d$istance alone insufficient to determine an object's location relative to another object?

Which of the following best describes $d$isplacement, given that it has both magnitude and direction?

Which of the following best explains how $velocity$ differs from $speed$, and why $velocity$ is considered a $vector$ quantity?

If east is the reference direction, then a train that is $-10m$ from you is toward the: