# 2.8 Game 2302-0380 motion -- variable velocity and acceleration

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

## 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

it is the situation where by im a market there is only one supplier and producer of a certain comodity that has no close substitute or competitor
yes
Alhaji
what is demand and supply
Alhaji
what is Economics?
Is the study of human behaviour as a relationship between ends and scares mean which have alternative use
Alhaji
yes
Tawa
what is monopoly
Alhaji
what are the difficultés if retail prix index for calculating thé value of money
Oscar
hmm OK wait
Castino
what is labour
LABOUR is a measure of work done by human being
Blessing
It is all form of human effort use to utilize in production
Alhaji
Why is scarcity a foundermental problem in economics
Alhaji
Why is scarcity a foundermental problem in economics
scarcity occur unbalance demand and supply at this time cost goods increase then inflation very increase
Tesfaye
scarcity is a foundermental problem because its a natural situation and it affects the world at Large.in other words,it's limit in supply relating to deman
Akwosih
'Economics is about making choices in the presence of scarcity"
. 'Economics is about making choices in the presence of scarcity" - Dscuss.
manoj
describe the producer's scarce resources.. I.e land,Labour,capital and enterprise
short in supply
Charles
What are human behaviour?
the rationality in decision making
Charles
how can you describe economic goods in a much better easier way?
any thing that have utility
Charles
what is deman and supply
Demand can be defined as the ability and willingness to buy commodities in a given price of goods and services in a particular period of time
Alasana
supply refers to the ability and willingness to offered commodities for sale in a given price of goods and services in a period of time .
Alasana
Demand can refer to the ability and willingness to purchase a commodity at a giving price and time.
habib
what must the producer do if total costs exceed total revenue
raise price
Nguyen
reduce cost
Charles
scarcity resources sample
land
Charles
what's scarcity
resources short in supply
Charles
hello
scarcity is excess against human wants.
Kennedy
scarcity is limit in supply relating to demand
Akwosih
students
Hamdu
shortge of resources .imbalance of wants to resources .
Hamdu
hlo
Yahya
limitation of supply in relation to their demand for commodity
Prince
what are the two types of economic theory's?
i thick it is microeconomic theory and macroeconomic theory. or it can be normative and positive economic theories.
Deep
yes^
Nguyen
with diagrams show thé change in prices in thé different time period that can result in an increase in demande
define momentary period
Fankam
What is a monopsony?
monopsony is a situation where only one buyer is available in the market
The
And with many sellers?
Allan
oligopsony
The
to be more specific, oligopsony is a situation with many sellers but few buyers
The
Thank you
Allan
Researchers demonstrated that the hippocampus functions in memory processing by creating lesions in the hippocampi of rats, which resulted in ________.
The formulation of new memories is sometimes called ________, and the process of bringing up old memories is called ________.
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