What does the tangent slope on a position–time graph represent?

Instantaneous velocity at the time where the tangent touches the curve.

What does the slope of a velocity–time graph represent?

Acceleration, the rate of change of velocity with time.

What does a secant slope on a position–time graph represent?

Average velocity over the time interval between the two points.

How is velocity related to time when acceleration is constant?

It follows $v = v_0 + at$, where $v_0$ is initial velocity.

How is an acceleration–time graph obtained from a velocity–time graph?

Find the velocity–time slope at successive times and plot each slope against time.

General physicsLesson 8 of 8 in the course Kinematics

Reading Position, Velocity, and Acceleration Graphs

5 flashcards · 5 quiz questions · 5 match pairs · 3 fill-in sentences · English

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Summary

Graphs make relationships between physical quantities visible. In this lesson, you will learn how to interpret a straight-line graph and use a position-versus-time graph to find average velocity.

A typical graph has a horizontal axis and a perpendicular vertical axis. The horizontal-axis quantity is usually the independent variable; the vertical-axis quantity depends on it and is called the dependent variable. For a straight line, the general relationship is

All flashcards

What does the tangent slope on a position–time graph represent?: Instantaneous velocity at the time where the tangent touches the curve.
What does the slope of a velocity–time graph represent?: Acceleration, the rate of change of velocity with time.
What does a secant slope on a position–time graph represent?: Average velocity over the time interval between the two points.
How is velocity related to time when acceleration is constant?: It follows $v = v_0 + at$ , where $v_0$ is initial velocity.
How is an acceleration–time graph obtained from a velocity–time graph?: Find the velocity–time slope at successive times and plot each slope against time.

Quiz questions

In the straight-line equation $y = mx + b$ , what does $m$ represent?Answer: The slope of the line
On a position-versus-time graph, which quantity is usually plotted on the horizontal axis?Answer: Time
For constant acceleration, what does $v_0$ represent in $v = v_0 + at$ ?Answer: Velocity at time zero
What does a horizontal velocity–time graph indicate?Answer: Velocity is constant and acceleration is zero
A position–time graph is a straight line with nonzero slope. What does this indicate?Answer: The object has constant nonzero velocity

Based on College Physics 2e by Paul Peter Urone, Roger Hinrichs (OpenStax), licensed CC BY 4.0. Adapted into a summary, flashcards and quizzes.

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