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The purpose of this module is to explain variable velocity and acceleration.

Table of contents

Preface

General

This module is part of a series of modules designed for teaching the physics component of GAME2302 Mathematical Applications for Game Development at Austin Community College in Austin, TX. (See GAME 2302-0100: Introduction for the first module in the course along with a description of the course,course resources, homework assignments, etc.)

The purpose of this module is to explain variable velocity and acceleration.

Viewing tip

I recommend that you open another copy of this document in a separate browser window and use the following links to easily find and view the Figuresand Listings while you are reading about them.

Figures

  • Figure 1 . Graph for variable velocity exercise #1.
  • Figure 2 . Screen output for Listing #1.
  • Figure 3 . Displacement versus time for first five time intervals.
  • Figure 4 . Screen output for Listing #2.
  • Figure 5 . Screen output for Listing #3.
  • Figure 6 . Screen output for Listing #4 at 45 degrees.
  • Figure 7 . Trajectory for two different firing angles.
  • Figure 8 . Screen output for Listing #4 at 60 degrees.
  • Figure 9 . Screen output for Listing #5.
  • Figure 10 . Screen output for Listing #6.
  • Figure 11 . Screen output for Listing #7.

Listings

  • Listing 1 . Variable velocity exercise #1.
  • Listing 2 . Variable velocity exercise #2.
  • Listing 3 . Acceleration of gravity exercise #1.
  • Listing 4 . Acceleration of gravity exercise #2.
  • Listing 5 . Acceleration of gravity exercise #3.
  • Listing 6 . Exercise to find the velocity.
  • Listing 7 . Exercise to find the height.

General background information

I will provide an introduction to variable velocity, acceleration, and the acceleration of gravity in thissection. I will provide exercises on those topics in the next section.

Variable velocity

What is velocity?

To review, you learned in an earlier module that velocity is the rate of change of position. Since displacement is a change in position, velocity is alsothe rate of displacement.

Uniform versus variable velocity

Previous modules have dealt exclusively with uniform velocity. However, many situations in life involve variable velocity and acceleration. For example, thesimple act of stopping an automobile at a traffic light and then resuming the trip once the light turns green involves variable velocity and acceleration.

Three equations

I will explain both of these topics in this module using three well-known physics equations that deal with the displacement of a projectile in a vacuum under the influence of gravity .

The equation that we will spend the most time on is

h = v0*t + 0.5*g*t^2

Questions & Answers

where we get a research paper on Nano chemistry....?
Maira Reply
what are the products of Nano chemistry?
Maira Reply
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
learn
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
learn
Google
da
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Bhagvanji
Preparation and Applications of Nanomaterial for Drug Delivery
Hafiz Reply
revolt
da
Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
Jyoti Reply
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
Nasa has use it in the 60's, copper as water purification in the moon travel.
Alexandre
nanocopper obvius
Alexandre
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
LITNING Reply
what is a peer
LITNING Reply
What is meant by 'nano scale'?
LITNING Reply
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
Hafiz
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, Game 2302 - mathematical applications for game development. OpenStax CNX. Jan 09, 2016 Download for free at https://legacy.cnx.org/content/col11450/1.33
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