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?

Which statement best describes a runner who is running at a constant $v$ according to a $v$-$t$ graph?

On a $v$ vs. $t$ graph, the ___ of the line represents $a$. Which quantity correctly fills the blank?

Given that an object's $v$ (velocity) versus $t$ (time) graph is a straight line with a constant positive slope, which of the following best represents the object's $a$ (acceleration) versus $t$ graph?

A car moves along a straight road and its velocity-time graph consists of three sections: In section 1, the velocity is constant at $10m/s$ for $5$ seconds; in section 2, the velocity increases linearly from $10m/s$ to $20m/s$ over $5$ seconds; in section 3, the velocity is constant at $20m/s$ for $5$ seconds. What is the ratio of the speed in section 3 to the speed in section 1?

Which of the following best explains the information needed to calculate $\mathrm{speed}$ and $\mathrm{velocity}$ from a $\mathrm{velocity}-\mathrm{time}$ graph?

Which method can be used to estimate the acceleration of a ball from its velocity versus time graph?

Given a graph of $\omega$ (angular velocity) versus $t$ (time) for a particle moving in a circle, which of the following quantities can be determined from the slope of the graph at any point?

Given an object moving in a straight line, if its velocity is measured at time intervals of $\Delta t=2s$, which of the following statements best describes how to construct its velocity-time graph?

Which of the following best describes the appearance of a $v-t$ graph for an object moving with no $a$?