Docsity
Docsity

Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity


Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan


Guidelines and tips
Guidelines and tips

Finding Average and Instantaneous Velocities and Acceleration from Graphs, Study notes of Physics

How to find average velocity using two points in time and the slope of the line connecting them, as well as how to find instantaneous velocity by finding the slope of the tangent line at a specific point in time. It also covers how to find acceleration by finding the slope of a line segment where the velocity is changing.

What you will learn

  • How is acceleration calculated from a velocity vs time graph?
  • What is the difference between average and instantaneous velocity?
  • How is average velocity calculated from a velocity vs time graph?

Typology: Study notes

2021/2022

Uploaded on 09/12/2022

loche
loche 🇺🇸

4.3

(16)

241 documents

1 / 3

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
Slope of this line
is the average
velocity
Time (t)
0
+
-
Finding Average Velocity
Time (t)
0
+
-
Finding Average Velocity
0
Average velocities are always described with 2 points in time. Example: “Find the
average velocity from 4 to 6 seconds.”
t1t2
velocity
The average velocity is found by:
Finding the 2 points on the curve
at the 2 points in time, t1 & t2.
Draw a line between the two
points.
Find the slope of the line. The
slope is the average velocity.
Time (t)
0
+
-
Finding Average Velocity
t1t2
t1t2
The average velocity is found by:
νAVG =
νFINAL −νINITIAL
2
From a v vs t graph:
Read the two velocities from the
vertical axis.
Add them up.
Divide by 2.
Vinitial
Vfinal
Vfinal
The average velocity is found by
calculating the “AREA” between
the curve and the axis from
t1 to t2.
pf3

Partial preview of the text

Download Finding Average and Instantaneous Velocities and Acceleration from Graphs and more Study notes Physics in PDF only on Docsity!

Slope of this line is the average velocity

Time (t)

Finding Average Velocity

Time (t)

Finding Average Velocity

Average velocities are always described with 2 points in time. Example: “Find the

average velocity from 4 to 6 seconds.”

t 1 t 2

velocity

The average velocity is found by:

  • Finding the 2 points on the curve at the 2 points in time, t1 & t2.
  • Draw a line between the two points.
  • Find the slope of the line. The slope is the average velocity.

Time (t)

Finding Average Velocity

t 1 t 2

t 1 t 2

The average velocity is found by:

νAVG =

νFINAL −νINITIAL 2 From a v vs t graph:

  • Read the two velocities from the vertical axis.
  • Add them up.
  • Divide by 2.

Vinitial

VfinalVfinal

The average velocity is found by

calculating the “AREA” between the curve and the axis from t1 to t2.

Time (t)

Finding Instantaneous Velocity

Time (t)

Finding Instantaneous Velocity

INSTANTANEOUS velocities are always described with 1 point in time. Example: “Find the

velocity at 6 seconds.”

t

The instantaneous velocity is the slope at that point in time.

(If you are given a curve find the slope of a tangent line.)

Time (t)

Finding Instantaneous Velocity

t

Find the slope here.

Read the graph’s vertical axis at time t.

N

A