2. 1D Motion / Kinematics

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?

A car increases its speed and then decreases its speed over time. Which of the following tables could represent the speed of the car ($m/s$) at equal time intervals?

On a position-versus-time graph for an object, what does the $\mathrm{slope}$ at a given point represent?

Which of the following $v-t$ graphs represents an object moving at constant speed?

Given a $v$-time graph where $v$ increases linearly with $t$, what does the slope of the graph represent?

On a $d-t$ graph, which type of gradient indicates that an object is moving with constant velocity?

Two cars, Car A and Car B, start from rest at the same time. Car A moves with a constant velocity of $2.0m/s$, while Car B starts from rest and accelerates uniformly at $1.0m/s^2$. If the finish line is $1.0m$ away from the starting point, which car crosses the finish line first?

If the graphs of the velocity functions of two particles are shown as straight lines with different slopes, where $t$ is measured in seconds, what does the difference in slopes of the velocity-time graphs represent?

A car's motion is represented on a $v-t$ graph with four labeled instants: $A$, $B$, $C$, and $D$. At which labeled instant is the speed of the car greatest?

Which $v-t$ graph best represents a bicyclist pedaling away from an observer at a constant speed?

Given a $v$-$t$ (velocity-time) graph with four trials, each showing the velocity $v$ of an object as a function of time $t$, during which trial or trials is the object's velocity not constant?