2. 1D Motion / Kinematics

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 $a$?

On a $v-t$ graph, which of the following best represents an object moving with negative velocity?

A car's motion is represented by the following velocity-time graph: from $t=0s$ to $t=2s$, velocity increases linearly from $0m/s$ to $10m/s$; from $t=2s$ to $t=5s$, velocity remains at $10m/s$; from $t=5s$ to $t=7s$, velocity decreases linearly to $0m/s$. During which segment(s) is the velocity constant?

Given a $\mathrm{position}$ vs. $\mathrm{time}$ graph that shows a straight line with a constant positive slope, which of the following $\mathrm{velocity}$ vs. $\mathrm{time}$ graphs correctly represents the motion?

Given that (figure 1) shows the $v$-versus-$t$ graph for an object moving along the $x$-axis, which of the following statements is correct about the object's acceleration during the time interval where the graph is a straight line with a positive slope?

On a $v-t$ graph, which feature indicates that an object is accelerating?

If a car needs to cross a two-lane roadway where the traffic is moving at $30 mph$, approximately how long of a time gap is required for the car to safely cross?