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Graphical Representations    Image Added

One way to graphically represent constant acceleration is to draw a velocity versus time graph. By the definition:

Latex
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h3. Graphical Representations    [!copyright and waiver^SectionEdit.png!|Motion with Constant Acceleration (Graphs)]

One way to graphically represent constant [acceleration] is to draw a [velocity versus time graph].  By the definition:

{latex}\begin{large}\[ a = \frac{dv}{dt}\]\end{large}{latex}

it

...

is

...

clear

...

that

...

the

...

acceleration

...

is

...

equal

...

to

...

the

...

slope

...

of

...

such

...

a

...

graph,

...

so

...

that

...

if

...

the

...

acceleration

...

is

...

constant,

...

the

...

velocity

...

versus

...

time

...

graph

...

will

...

necessarily

...

be

...

linear.

...

Another

...

way

...

to

...

graphically

...

represent

...

acceleration

...

is

...

to

...

note

...

that

...

the

...

equation:

{
Latex
}\begin{large}\[ x_{f} = x_{i} + v_{i}(t_{f}-t_{i}) + \frac{1}{2}a(t_{f}-t_{i})^{2}\]\end{large}{latex}

implies

...

that

...

for

...

the

...

case

...

of

...

constant

...

acceleration,

...

the

...

position

...

versus

...

time

...

graph

...

describing

...

the

...

motion

...

will

...

be

...

a

...

parabola.

...