2. 1D Motion / Kinematics

Under what condition is the average velocity $v\_\mathrm{avg}$ of an object equal to its instantaneous velocity $v$ at every point during a time interval?

Which of the following best describes the main difference between $\mathrm{speed}$ and $\mathrm{velocity}$?

What is the average velocity at which a car must travel to cover a distance of $20\mathrm{km}$ in $2\mathrm{hours}$?

Given a source with voltage varying as $v=V{m}_{0}sin\left(\omega t\right)$, what is the average voltage $v_{\mathrm{avg}}$ of the source over one complete cycle?

A train travels at a constant speed of $42m/s$ for $68$ minutes. How far does the train travel in meters?

Albert is traveling at a constant speed of $60$ miles per hour in his car. What is the average velocity after $3$ hours if he drives in a straight line without changing direction?

A particle moves along a straight line and its position as a function of time is given by $x=4.0t+2.0$, where $x$ is in meters and $t$ is in seconds. What is the average velocity $v_{\mathrm{av}}$ of the particle over the time interval $\Delta t=50.0s$?

A runner travels $10m$ in $4s$ in a straight line. What is her average velocity?

Which of the following best describes average velocity?

A train travels $300$ feet every $5$ seconds. Assuming it continues at the same speed, how far will it travel in $13$ seconds?

A car travels $200 \mathrm{km}$ in $2 \mathrm{hr}$ at a constant speed. What is its average velocity in $\mathrm{km}/\mathrm{hr}$?

Which of the following methods can be used to determine the average speed of a car over a given distance?

An object moves along a straight line, and its position as a function of time is shown in the figure below. If the object starts at $x=0$ m at $t=0$ s and reaches $x=12$ m at $t=6$ s, what is the average speed of the object from $t=0$ s to $t=6$ s?

Which of the following best describes the difference between $v\_\mathrm{inst}$ (instantaneous velocity) and $v\_\mathrm{avg}$ (average velocity)?

Suppose an object moves along a straight line in four separate trials, each lasting the same amount of time. The displacements for the trials are as follows: Trial 1: $10m$ east, Trial 2: $15m$ west, Trial 3: $8m$ east, Trial 4: $12m$ west. During which trial is the magnitude of the average velocity the largest?