2. 1D Motion / Kinematics

A wave is described by the equation $y=2\ast \sin (0.5x-4t)$, where $y$ is in meters, $x$ is in meters, and $t$ is in seconds. Which of the following best represents the history graph ($y$ vs. $t$) at $x=6$m?

Given that the position of an object as a function of time is $x=4t+2$, what is the $x_{component}$ of the velocity (in $m/s$)?

Which of the following $v-t$ graphs represents an object traveling at a constant non-zero velocity?

Given a $\mathrm{position}$ vs. $\mathrm{time}$ graph that shows a straight line with a constant positive slope, which $\mathrm{velocity}$ vs. $\mathrm{time}$ graph corresponds to this data?

Given the $v-t$ graphs of two cars, do the two cars ever have the same velocity at one instant of time? If so, what does this imply about their motion at that instant?